What is (4x-4)/(6x-20) ?

The solution to (4x-4)/(6x-20) is (2(x-1))/(3x-10)

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simplify (4x-4)/(6x-20)

simplify

\frac{4 x - 4}{6 x - 20}

\frac{2 ( x - 1 )}{3 x - 10}

Solution steps

\frac{4 x - 4}{6 x - 20}

Factor

4 x - 4 : 4 (x - 1)

= \frac{4 ( x - 1 )}{6 x - 20}

Factor

6 x - 20 : 2 (3 x - 10)

= \frac{4 ( x - 1 )}{2 ( 3 x - 10 )}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 ( x - 1 )}{2 ( 3 x - 10 )}

Cancel the common factor:

2

= \frac{2 ( x - 1 )}{3 x - 10}

- \frac{1}{6} - 1

(z + 2)^{2}

(2 x + 1) (x + 4)

x^{2} (x + 3)

(x - 4) (3 x^{2} + x - 5)