Question #987c2

1 Answer
Jim G.
Oct 30, 2017

#(2x+3)^2#

Explanation:

#4x^2+12x+9" is a "color(blue)"perfect square"#

#"that is "(a+b)^2=a^2+2ab+b^2#

#4x^2=(2x)^2" and "9=3^2#

#rArra=2x" and "b=3#

#"note that "2(2x)(3)=12xlarrcolor(blue)"the middle term"#

#rArr4x^2+12x+9=(2x+3)(2x+3)=(2x+3)^2#

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