$ (2x+6)(2x+6)=4(x+3)^2 $
Work Step by Step
This is a perfect square trinomial, and hence $$ 4x^2+24x+36=(2x+6)(2x+6)=4(x+3)^2 .$$ One can check as follows $$ 4(x+3)^2=(2x+6)(2x+6)=4x^2+12x+12x+36=4x^2+24x+36 .$$
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