(7x+3y)^2

3 answers

Write it like this:

(7x+3y)(7x+3y)

Our teacher tells us to Foil, which means we multiply the Firsts, the OUters, the Inners, and the Lasts. If you do this, you get

7x(7x) + 7x(3y) + 7x(3y) + 3y(3y)

49x^2 + 21xy + 21xy + 9y^2

49x^2 + 42xy + 9y^2
(a+b)^2=a^2+2*a*b+b^2

(7x+3y)^2=(7x)^2+2*7x*3y+(3y)^2=4+9x^2+42xy+9y^2
Correction:

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