What is (12(x-2)^2)/(6(x-2)(x+5)) ?

The solution to (12(x-2)^2)/(6(x-2)(x+5)) is (2(x-2))/(x+5)

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simplify (12(x-2)^2)/(6(x-2)(x+5))

simplify

\frac{12 ( x - 2 ) ^{2}}{6 ( x - 2 ) ( x + 5 )}

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

Solution steps

\frac{12 ( x - 2 ) ^{2}}{6 ( x - 2 ) ( x + 5 )}

Factor the number:

12 = 6 \cdot 2

= \frac{6 \cdot 2 ( x - 2 ) ^{2}}{6 ( x - 2 ) ( x + 5 )}

Cancel the common factor:

6

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x - 2)^{2} = (x - 2) (x - 2)

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

Cancel the common factor:

x - 2

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

(3 x - 7) (3 x + 7)

x (x - 4)^{3}

\frac{3}{2} \div 2

(x + 1) (x - 2) (x - 3)

\frac{20}{6}

What is (12(x-2)^2)/(6(x-2)(x+5)) ?
The solution to (12(x-2)^2)/(6(x-2)(x+5)) is (2(x-2))/(x+5)