The Binomial Theorem Answers

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Which row of Pascal’s triangle would you use to expand (2x + 10y)15?

row 10

row 12

row 15

row 25

How many terms are in this expansion? terms

Answer:

What is the first term in this expansion?

2x15

215x15

10y15

1015y15

Which expression represents the sixth term in the binomial expansion of (2a - 3b)10?

10C5(2a)5(-3b)5

10C5(-2a)5(3b)5

10C6(2a)4(-3b)6

10C6(-2a)4(3b)6

10C6(2a)6(-3b)4

10C6(-2a)6(3b)4

Which of the following is the expansion of (2m - n)7?

128m7 + 448m6n + 672m5n2 + 560m4n3 + 280m3n4 + 84m2n5 + 14mn6 + n7

128m7 + 14m6n + 42m5n2 + 70m4n3 + 70m3n4 + 42m2n5 + 14mn6 + n7

m7 + 7m6n + 21m5n2 + 35m4n3 + 35m3n4 + 21m2n5 + 7mn6 + n7

128m7 - 384m6n + 480m5n2 - 320m4n3 + 160m3n4 - 60m2n5 + 12mn6 - n7

128m7 - 448m6n + 672m5n2 - 560m4n3 + 280m3n4 - 84m2n5 + 14mn6 - n7

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What is the coefficient of the x6y3 term in the expansion of (x + 2y)9?

168

336

672

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