Question

PLEASE HELP!!!

what is the simplified form of x+2/x^2-3x-10 times x-3/x^2+x-12

Answer 1

a) 1/(x-3)(x+4)
b) 1/(x-3)(x+2)
c) 1/(x+4)(x-5)
d) 1/(x+2)(x-5)

Answer 2

factor the quadratics and you'll probably see common factors

Answer 3

cancel the common factors and then multiply whats left... thats the answer

Answer 4

First of all I would factorise your polynomials; so:
\[[(x+2)]\div[(x-5)(x+2)] \times [(x-3)]\div[(x-3)(x+4)] \]

then an 'x+2' will cancel in the first equation
and an 'x-3' will cancel in the second,

so you get:
\[1\div (x-5) \times 1\div(x+4)\]

which can be combined to give
\[1\div (x-5)(x+4)\]

Do you understand?

Answer 5

yes! thank you for explaining it out i got stuck at the second part!