Simplify completely quantity 5 x squared plus 9 x minus 2 over quantity x squared plus 12 x plus 20 times quantity x squared plus 17 x plus 70 over quantity 15 x minus 3.

Question

anonymous · Answer

Is this correct?

$$\frac{ 5x^2 + 9x - 2 }{ x^2 + 12x + 20 } \times \frac{ x^2 + 17x + 70 }{ 15x - 3 }$$

anonymous · Answer

Yes

anonymous · Answer

Try factorising each part of the expression, you'll find some factors on the top and bottom of the fraction that cancel out.

anonymous · Answer

Ok I did but I think im doing something wrong

anonymous · Answer

What did you get when you factorised it all?

anonymous · Answer

$$5x2+9x-2        $$
$$(x+2)  (x+10)$$

anonymous · Answer

$$(x+10) ( x+7)$$
$$3(5x)$$

anonymous · Answer

The first one can be factorised, so you get $$5x^2 + 9x - 2 = (5x-1)(x+2)$$
and you forgot a term on the denominator of the 2nd bit, you should get $$3(5x-1)$$ instead of $$3(5x)$$
When you change that, you should get a bunch of cancellation :)

anonymous · Answer

so my answer should be (x+7) over 3

anonymous · Answer

Correct :)

anonymous · Answer

Thank you

anonymous · Answer

No problem!

anonymous · Answer

This is correct!
The answer was A) (x+7)/3