# 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.

#(color(red)(4a+b))(4a+b)=color(red)(4a)(4a+b)color(red)(+b)(4a+b)# distribute the brackets.

#rArr16a^2+4ab+4ab+b^2# collecting like terms gives

#16a^2+8ab+b^2#

#rArr(4a+b)^2=16a^2+8ab+b^2#