Question

PLEASE HELP Let f(x)=5x^2−9x+4/5x^2−x−4 and g(x)=x^2−3x−10/5x^2+6x−8. Find and simplify: f(x)⋅g(x) f(x)⋅g(x)=______

Answer 1

`(x-5)/(5x+4)`

Explanation:

Given

`(5x^2-9x+4)/(5x^2-x-4)` ×
`(x^2-3x-10)/(5x^2+6x-8)`

Factorise numerator/ denominator of both fractions

=
`((5x-4)(x-1))/((5x+4)(x-1))` ×
`((x-5)(x+2))/((5x-4)(x+2))`

Cancel common factors on numerator/ denominator of both fractions

=
`(5x-4)/(5x+4)` ×
`(x-5)/(5x-4)`

Cancel the common factor 5x - 4 on numerator/ denominator, leaving

=
`(x-5)/(5x+4)`