Question

27 (x2+8x+16) / 3 (x2+6x+8) simplify

Answer 1

`(9(x+4))/(x+2)`

Explanation:

factorise the quadratics on the numerator/ denominator

x² + 8x + 16 = (x + 4)(x + 4)

x² + 6x + 8 = (x + 2)(x + 4)

`(27(x^2+8x+16))/(3(x^2+6x+8))`

=
`(27(x+4)(x+4))/(3(x+2)(x+4))`

cancel the 27 and 3 (27 ÷ 3) = 9 and (x + 4) on numerator/denominator

=
`(9(x+4))/(x+2)`