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

1 Answer
Jim G.
Sep 5, 2016

16a^2+8ab+b^2

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

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