Question

Simplify quantity 4 x squared plus 12 x minus 16 all over quantity 2x plus 10 over quantity 6 x plus 24 over quantity x squared plus 9x plus 20


Would someone please explain this to me??

Answer 1

well it looks like this

\[\frac{\frac{4x^2 + 12x + 16}{2x +10}}{\frac{6x + 24}{x^2 + 9x + 20}}\]

the rule for dividing by a fraction is flip the denominator and multiply

so you have

\[\frac{4x^2 + 12x + 16}{2x + 10} \times \frac{x^2 + 9x + 20}{6x + 24}\]

to get an answer, you'll need to factor the expressions.

then cancel common factors

and lastly multiply whats left.

Hope this helps

Answer 2

oops it should be -16 not plus...

\[\frac{4x^2 + 12x - 16}{2x + 10} \times \frac{x^2 + 9x + 20}{6x + 24}\]

Answer 3

How can I factor 9 and 2 if they have no common factors?

Answer 4

well start this way

\[\frac{4(x +4)(x -1)}{2(x + 5)} \times \frac{(x + 4)(x + 5)}{6(x + 4)}\]

Answer 5

Okay I got it. Thanks!!!

Answer 6

was the answer 3(x-1)/x+4 ?