How do you multiply (4a+b)2?
1 Answer
Sep 5, 2016
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