What is (3(x+2)(x-1))/(6(x-1)^2) ?

The solution to (3(x+2)(x-1))/(6(x-1)^2) is (x+2)/(2(x-1))

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simplify (3(x+2)(x-1))/(6(x-1)^2)

simplify

\frac{3 ( x + 2 ) ( x - 1 )}{6 ( x - 1 ) ^{2}}

\frac{x + 2}{2 ( x - 1 )}

Solution steps

\frac{3 ( x + 2 ) ( x - 1 )}{6 ( x - 1 ) ^{2}}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

= \frac{( x + 2 ) ( x - 1 )}{2 ( x - 1 ) ^{2}}

Apply exponent rule:

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

(x - 1)^{2} = (x - 1) (x - 1)

= \frac{( x + 2 ) ( x - 1 )}{2 ( x - 1 ) ( x - 1 )}

Cancel the common factor:

x - 1

= \frac{x + 2}{2 ( x - 1 )}

\frac{8 x ^{5} y ^{3}}{8 x ^{7} y}

3 a + 5 a

(3 + i)^{2} - (3 - i)^{2}

2 a^{2} + a^{2}

\frac{21.75 - 20.83}{\frac{2.75}{38}}

What is (3(x+2)(x-1))/(6(x-1)^2) ?
The solution to (3(x+2)(x-1))/(6(x-1)^2) is (x+2)/(2(x-1))