What is (x^2-4)/(5ax+10a) ?

The solution to (x^2-4)/(5ax+10a) is (x-2)/(5a)

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simplify (x^2-4)/(5ax+10a)

simplify

\frac{x ^{2} - 4}{5 a x + 10 a}

\frac{x - 2}{5 a}

Solution steps

\frac{x ^{2} - 4}{5 a x + 10 a}

Factor

x^{2} - 4 : (x + 2) (x - 2)

= \frac{( x + 2 ) ( x - 2 )}{5 a x + 10 a}

Factor

5 x a + 10 a : 5 a (x + 2)

= \frac{( x + 2 ) ( x - 2 )}{5 a ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{x - 2}{5 a}

2 \times 4

(8 x + 5) + (- x^{2} - 8)

lo g_{10} (125)

(3 x - y)^{2}