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Mathematics 24 Online
OpenStudy (anonymous):

How do you simplify?

OpenStudy (anonymous):

\[x ^{2}+6x-16/3x \times6x-18/x ^{2}-x-2\]

OpenStudy (anonymous):

could u draw it or write it in eqn form ?

OpenStudy (anonymous):

I don't know how to..

OpenStudy (anonymous):

\[\frac{x^2+6x-16}{3x}*\frac{6x-18}{x^3-x-2}\] this is your question right?

OpenStudy (anonymous):

@sakigirl

OpenStudy (anonymous):

3x^2-9x, not just 3x. My bad

OpenStudy (anonymous):

ok \[\frac{x^2+6x-16}{3x^2-9x}*\frac{6x-18}{x^2-x-2}\] this is correct now?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok factor x^2+6x-16 x^2+8x-2x-16 x(x+8)-2(x+8) (x+8)(x-2) now factors the x^2-x-2 x^2-2x+x-2 x(x-2)+1(x-2) (x-2)(x+1) are you fallowing this?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so now put the factor at the respective place \[\frac{(x+8)(x-2)}{3x^2-9x}*\frac{6x-18}{(x-2)(x+1)}\] so the x-2 in numerator and denominator gets cancelled

OpenStudy (anonymous):

now write 6x-18 as 6(x-3) and 3x^2-9x as 3x(x-3) so it becomes \[\frac{x+8}{3x(x-3)}*\frac{6(x-3)}{x+1}\] this time x-3 from both numerator and denominator will gets cancelled

OpenStudy (anonymous):

now it becomes \[\frac{x+8}{3x}*\frac{6}{x+1}\]

OpenStudy (anonymous):

can you do this from here ??

OpenStudy (anonymous):

@sakigirl

OpenStudy (anonymous):

Yes :)

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