# Answer to Question #11042 in Algebra for n lakshmi

Question #11042

factorize

(2x+3b)^2+(4x+6y)(a+b)+(a+b)^2

(2x+3b)^2+(4x+6y)(a+b)+(a+b)^2

Expert's answer

we use formula

(s+t)^2=s^2+2*s*t+t^2

(2x+3y)^2+(4x+6y)(a+b)+(a+b)^2=(2x+3y)^2+2*(2x+3y)*(a+b)+(a+b)^2=(2x+3y+a+b)^2

(s+t)^2=s^2+2*s*t+t^2

(2x+3y)^2+(4x+6y)(a+b)+(a+b)^2=(2x+3y)^2+2*(2x+3y)*(a+b)+(a+b)^2=(2x+3y+a+b)^2

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