Question

If x≠2, and x≠-2, then what does (x^3+3x^2-10x)/(2x^2-8) equal?

Answer 1

can u factorise the cubic expression in the numerator?

Answer 2

x(x+5)(x-2)

Answer 3

yes and denominator?

Answer 4

2(x^2-4)

Answer 5

which is?
use a^2-b^2=(a+b)(a-b)

Answer 6

if x≠2, and x≠-2

Answer 7

i dont get this part

Answer 8

since x not =2 --->(x-2) not=0
only then u can cancel out (x-2) from numerator and denominator

Answer 9

x(x+5)/2(x^2-4)

Answer 10

and x≠-2

Answer 11

to cancel out x-2 from denominator,first factor the denominator as
2(x^2-4) as 2(x+2)(x-2)
what is true for x-2,also applies to x+2

Answer 12

so it's x(x+5)/2(x+2)

Answer 13

yup it is :)

Answer 14

thanx man!