How do you multiply (4a+b)2?

1 Answer
Sep 5, 2016

16a2+8ab+b2

Explanation:

We can express (4a+b)2 as (4a+b)(4a+b)

We must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.

This may be done as follows.

(4a+b)(4a+b)=4a(4a+b)+b(4a+b)

distribute the brackets.

16a2+4ab+4ab+b2

collecting like terms gives 16a2+8ab+b2

(4a+b)2=16a2+8ab+b2