Question

Easy and Fun Math review questions.

Use Pascal’s triangle to expand each binomial.

(a+b)^5

Answer 1

Explanation:

You need the 6th row of Pascal's triangle which contains the numbers 1, 5, 10, 10, 5, 1

Fill in the expansion as follows, using those numbers and the fact that a = 1 and b = 1:

`1(1a)^5(1b)^0+5(1a)^4(1b)^1+10(1a)^3(1b)^2+10(1a)^2(1b)^3+5(1a)^1(1b)^4+1(1a)^0(1b)^5`

That simplifies down nicely to

`a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5`

Those are fun! Pascal's triangle is one of the coolest things ever!