Binomial Theorem

Videos

Numerically Greatest Term

1506

Application of Binomial Expansion

4630

Application of Binomial Expansion - I

1858

Sum of Binomial Coefficients

4104

Application of Binomial Expansion - II

4630

Sum of Product of Binomial Coefficients

8415

Sum of Binomial Coefficients - I

1562

Sum of Binomial Coefficients - II

4104

Binomial Expansion for any Real Index

1954

Sum of Product of Binomial Coefficients - I

1795

Sum of Product of Binomial Coefficients - II

8415

Multinomial Theorem Expansion

5122

Binomial Expansion for any Real Index

1954

Multinomial Theorem Expansion - I

4898

280

Dealing with the Negetivity

58

295

Example on Finding Greatest Term

230

Sum of Coefficients

287

Finding Number of Terms

68

Expanding Binomials When the Index Is "Unnatural"

191

The Tale of Two Sums

276

When Coefficients Have Alternate Signs

582

A Peculiar Case

557

When Coefficients Are Multiplied with a Constant

206

When Coefficients Are Divided by a Constant

223

Sum of Products of Binomial Coefficients

255

When a Binomial Coefficient Is Divided by Another

192

When a Constant Is Multiplied to the Product of Two Binomial Coefficients

416

The Last Two Digits

270

For Numbers Ending in 1

126

For Numbers Ending in 3,7 and 9 Part 1

258

For Numbers Ending in 3,7 and 9 Part 2

360

For Even Numbers Part 1

38

For Even Numbers Part 2

224

Remainder of Large Numbers

522

Integral Part Problems

481

JEE Main Analysis

104

Product of binomial expressions

144

155

Binomial coefficients

221

An important relation

100

177

Term independent of X

201

Sum of coefficients

233

JEE Advanced Analysis

181

Product of binomial expressions

219

Multinomial Expansion

161

Trinomial Expansion

143

Sum of odd binomial coefficients

480

Squares of binomial coefficients

399

Sum of the coefficients

240

1532

Results and Observations on Binomial Theorem

255

Binomial Expansions of (a+b), (a-b) With Index as Whole Number

473

Binomial Expansions of (1+x), (1-x) With Index as Whole Number

138

Properties of Binomial Coefficient - I

221

Properties of Binomial Coefficients - II

217

Numerically Greatest Term - I

749

Numerically Greatest Term - II

683

Divisiblity Using Binomial Expansion

231

Remainder Using Binomial Expansion

316

Last Digit by Binomial Expansion

590

Integral and Fractional Parts

700

Sum of Binomial Coefficients Using Differentiation

836

Sum of Binomial Coefficients Using Integration

726

Sum of Product of Binomial Coefficients - I

492

Sum of Product of Binomial Coefficients - II

460

Practice: Sum of Binomial Coefficients

383

Practice: Sum of Binomial Coefficients

167

Multinomial Theorem and General Term

340

Number of Terms in Multinomial Expansion

143

Number of Terms in Multinomial Expansion

260

Analogy of Power of Variable

330

Analogy of Power of Variable

644

Analogy of Power of Variable

754

Binomial Theorem for Any Real Index

484

Binomial Theorem for Any Real Index

212

Binomial Theorem for Negative Fractional Indices

295

Binomial Theorem Negative Integral Indices

573

Binomial Theorem Negative Integral Indices

357

General Term from the Beginning

625

General Term from the End

339

632

Ratio of Consecutive Terms/Coefficients

817

Ratio of Consecutive Terms/Coefficients

125

Greatest Binomial Coefficient

403

Algebraic Identities

258

Binomial Expression

473

Introduction to Pascal's Triangle

472

Introduction to Pascal's Triangle

127

Binomial Coefficients and Combinations

557

Binomial Coefficients as Combinations

161

Each row is Palindrome

277

Sum of Two Consecutive Binomial Coefficients

119

Sum of Binomial Coefficeints

142

Basic Idea of Binomial Expansion

249

Binomial Theorem

280

Different Observations on Pascal triangle

407

Different Observations on Binomial Theorem

502

168

Numerically Greatest Term - I

637

Numerically Greatest Term - I

293

Numerically Greatest Term - I

303

Numerically Greatest Term - II

36

Divisiblity Using Binomial Expansion

240

Numerically Greatest Term - II

191

Remainder Using Binomial Expansion

225

Summary and Practice

18

Divisiblity Using Binomial Expansion

225

Remainder Using Binomial Expansion

395

80

Last Digit by Binomial Expansion

212

Last Digit by Binomial Expansion

195

Last Digit by Binomial Expansion

344

Inequality solving

657

Inequality solving

111

Summary and Practice

39

49

464

248

320

240

352

Summary and Practice

41

Difference of Lower Suffix of Each Term is Same

100

All Terms Getting Added

675

Sum of Lower Suffix of Each Term is Same

109

Alternative Terms of Same Sign

343

All Terms Getting Added

571

Alternative Terms of Same Sign

519

Practice: Sum of Product of Binomial Coefficients

82

Practice: Sum of Product of Binomial Coefficients

114

Each Term Getting Multiplied or Divided by an Integer

125

Using Differentiation

296

Using Differentiation

318

Using Integration

392

Upper Suffix is Varying, Lower Suffix is Constant

476

Upper Suffix is Varying, Lower Suffix is Constant

486

Upper Suffix is Varying, Lower Suffix is Constant

86

Upper Suffix is Varying, Lower Suffix is Constant

74

Introduction to Summation

132

Using Integration

366

Simple Summation

314

Double Summation On Dependent Index

473

Double Summation On Independent Index

194

Double Summation On Dependent Index

549

Double Summation On Independent Index

294

Practice: Sum of Product of Binomial Coefficients

109

Double Summation On Dependent Index

713

Introduction to Multionomial Expansion

101

Derivation And General Term

609

Derivation And General Term

364

Derivation And General Term

228

Number of Terms

176

Number of Terms

117

Number of Terms

111

151

Practice: Multinomial Expansion

71

Analogy of Power of Variable x

551

Solving Linear Equations With Restrictions

454

Analogy of Power of Variable x

809

Solving Linear Equations With Restrictions

363

Practice: Application of Multinomial Expansion

77

Practice: Properties of Binomial Expansion

644

Practice: Properties of Binomial Expansion

126

Sum of Binomial Coefficients Using Differentiation

509

Sum of Binomial Coefficients Using Differentiation

245

Sum of Binomial Coefficients Using Differentiation

136

Sum of Binomial Coefficients Using Integration-1

552

Sum of Binomial Coefficients Using Integration-1

222

Type of Possible Index

42

Sum of Binomial Coefficients Using Integration-1

324

Sum of Binomial Coefficients Using Integration-1

118

Negative & Fractional Index

221

Sum of Binomial Coefficients Using Integration-2

90

Sum of Binomial Coefficients Using Integration-1

238

Types of Different Cases

208

Types of Different Cases

142

Sum of Binomial Coefficients Using Integration-2

298

Types of Different Cases

361

Negative Integral Indices

112

Sum of Binomial Coefficients Using Integration-2

327

Practice: Binomial Expansion For Any Real Index

109

Sum of Binomial Coefficients Using Integration-3

223

Sum of Binomial Coefficients Using Integration-3

213

Sum of Binomial Coefficients Using Integration-3

490

Sum of Binomial Coefficients Using Integration-3

115

Multinomial Theorem Expansion - II

5122

Type of Possible Index

43

Negative & Fractional Index

222

Types of Different Cases

207

Types of Different Cases Q1

142

Types of Different Cases Q2

363

Negative Integral Indices

113

Practice: Binomial Expansion For Any Real Index

108

302

302

472

503

330

441

613

90

64

102

131

170

128

167

267

110

107

119

111

321

286

284

358

287

358

298

454

361

361

315

429

313

466

575

302

402

227

233

233

138

180

249

332

241

281

294

212

191

223

190

223

160

255

247

508

161

233

143

462

196

196

181

181

178

178

234

234

469

453

564

497

340

238

238

238

503

503

190

354

72

151

160

391

214

484

162

266

208

224

230

495

610

257

156

156

259

259

196

188

188

188

153

153

170

799

719

745

507

400

744

390

897

1029

1029

461

491

373

267

580

360

462

300

339

210

415

424

406

487

283

276

371

155

167

339

225

397

624

669

264

464

137

219

100

120

122

191

319

345

491

129

136

162

66

167

136

360

296

113

261

319

420

457

729

250

164

700

133

269

287

179

201

480

334

594

358

124

245

247

350

593

Sum of Binomial Coefficients - I

1562

Sum of Product of Binomial Coefficients - I

1795