Question

I REALLY NEED HELP Multiply and simplify: x^2-4/x^2 multiplied by x+1/x+2 Please show me step by step so I understand, thanks(:

Answer 1

\[\frac{x^2 - 4}{x^2} \times \frac{x+1}{x+2}\]

check this out:
\[x^2 - 4 = (x+2)(x-2)\]
it's called "difference of two squares"
so:
\[\frac{x^2 - 4}{x^2} \times \frac{x+1}{x+2} = \frac{(x+2)(x-2)}{x^2} \times \frac{x+1}{x+2} = \frac{(x+2)(x-2)(x+1)}{x^2(x+2)}\]

now simplify!
\[\frac{(x+2)(x-2)(x+1)}{x^2(x+2)} = \frac{(x-2)(x+1)}{x^2}\]

Answer 2

in general: