How do you simplify $\frac{10 y - 30}{y^{2} - 1}$ $(10y-30)/(y^2-1)$ ?

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Answer 1 · 2015-05-30T10:29:58

By factorization:

$\frac{10 (y - 3)}{y^{2} - 1}$ $color(red)[10(y-3)]/(y^2-1)$

$\frac{10 (y - 3)}{{(y)}^{2} - {(1)}^{2}}$ $[10(y-3)]/color(red)[(y)^2-(1)^2]$

Recall: $\Rightarrow {(a)}^{2} - {(b)}^{2} = (a + b) (a - b)$ $rArr (a)^2-(b)^2=(a+b)(a-b)$

So;

$\frac{10 (y - 3)}{(y + 1) (y - 1)}$ $color(green){[10(y-3)]/[(y+1)(y-1)]$

How do you simplify 10y−30y2−1(10y-30)/(y^2-1)?