How do you simplify # (3x + 4)^2#?

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Answer 1 · 2015-10-30T11:05:20

#=color(blue)(9x^2+24x+16#

#(3x+4)^2#

As per identity:

#color(blue)((a+b)^2=a^2+2ab+b^2#

Here: #a=3x,b=4#

Applying the same identity to the expression:

#(3x+4)^2=(3x)^2+2*3x*4+4^2#

#=color(blue)(9x^2+24x+16#