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#
