## anonymous one year ago 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.

1. anonymous

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

2. anonymous

Yes

3. anonymous

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

4. anonymous

Ok I did but I think im doing something wrong

5. anonymous

What did you get when you factorised it all?

6. anonymous

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

7. anonymous

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

8. anonymous

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 :)

9. anonymous

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

10. anonymous

Correct :)

11. anonymous

Thank you

12. anonymous

No problem!

13. anonymous

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