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2 Answers

Hi Lila;
16a2+56ab+49b2
The numbers 16 and 49 can be square rooted into 4 and 7.  When we multiply these numbers together, and then double the result, (4)(7)(2), we get 56, the coefficient of ab.
(4a+7b)(4a+7b)
Let's FOIL...
FIRST...(4a)(4a)=16a2
OUTER...(4a)(7b)=28ab
INNER...(7b)(4a)=28ab
LAST...(7b)(7b)=49b2
16a2+28ab+28ab+49b2
16a2+56ab+49b2
16a^2 + 56ab + 49b^2
 
(4a + 7b)(4a + 7b)