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

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

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

simplify

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

(x - 1) (6 x - 1)

Solution steps

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Cancel the common factor:

6

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

Factor

x^{2} - 1 : (x + 1) (x - 1)

= \frac{( x + 1 ) ( x - 1 ) ( 6 x - 1 )}{x + 1}

Cancel the common factor:

x + 1

= (x - 1) (6 x - 1)

(x + 10) (x + 2) - (x + 5) (x + 7)

\frac{7}{4 x ^{3}} \cdot \frac{10 x}{2 x}

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

[25]^{\frac{1}{2}} + [8]^{\frac{1}{3}}

(x - y) (x^{3} + x^{2} y + x y^{2} + y^{3})

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