Question

Solve the equation: x2 - 12x = -36
is (6x-6)(6x+6) rite?

Answer 1

nope.! simplify what you got and see if it is equal to the original equation!

Answer 2

it's close
it is given
\[x^2-12x=-36\]
Add 36 to both the sides
\[x^2-12x+36=0\]
We know
\[(a-b)^2=a^2-2ab+b^2\]
so
here a^2=x^2
b^2=36 => b=6
-2ab=-2x6=-12x
so
\[x^2-12x+36=(x-6)^2
\]
or
\[x^2-12x+36=(x-6)(x-6)\]