How do you multiply (7x+3) (7x+3)?

1 Answer
Aug 21, 2015

(7x+3)(7x+3)=(7x+3)^2=49x^2+42x+9

Explanation:

(7x+3)(7x+3)=(7x+3)^2

(7x+3)^2 is the square of a sum with the form (a+b)^2=a^2+2ab+b^2, where a=7x and b=3.

(7x+3)^2=(7x)^2+(2*7x*3)+(3)^2=

(7x+3)^2=49x^2+42x+9

You could also use the FOIL method.

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(7x+3)(7x+3)=(7x*7x)+(7x*3)+(3*7x)+(3*3)=

(7x+3)(7x+3)=49x^2+21x+21x+9=

(7x+3)(7x+3)=49x^2+42x+9