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Contents

Binomial Expansion

Problems

The Binomial Theorem

How to Cite This SparkNote

Problem : Write out the expansion of (x + y)6 .

(x + y)6 = x 6 +6x 5 y + 15x 4 y 2 +20x 3 y 3 +15x 2 y 4 +6xy 5 + y 6 .

Problem : Write out the expansion of (x - 5)4 .

(x - 5)4 = x 4 -20x 3 +150x 2 - 500x + 625 .

Problem : Write out the expansion of (2x + 7y)3 .

(2x + 7y)3 = 8x 3 +84x 2 y + 294xy 2 +343y 3 .

Problem : Write out the expansion of (1 - x)7 .

(1 - x)7 = 1 - 7x + 21x 2 -35x 3 +35x 4 -21x 5 +7x 6 - x 7 .

Problem : Write out the expansion of (x 2 +3y)4 .

(x 2 +3y)4 = x 8 +12x 6 y + 54x 4 y 2 +108x 2 y 3 +81y 4 .

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