ok so i got this question and i know how to slove it and everything but im lost as of where the teacher got this one number.. so here it is
(x+5)/(x-2) = 5/(x+2) + 28/(x^2-4)
so from that i got ..
x^2+10 = 5x-10+28
but.. the teacher got
x^2 + 7x +10 = 5x-10+28
where did he get 7x from???
Multiply the first term by
Multiply the second term by
This should now give each term a denominator of which cancels to
For this to work
edit: see spoiler for detailed instructions
First, multiply through by the common denominator, which is (x - 2)(x + 2).
Expand and set everything equal to zero. This is where you went wrong. You multiplied the first two binomials incorrectly.
because it would cause the denominator to be zero in the first fraction.