What is ((4x^2-4)(12x^2-6x-6))/(2x^3-2) ?

The solution to ((4x^2-4)(12x^2-6x-6))/(2x^3-2) is (2(x+1)(12x^2-6x-6))/(x^2+x+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((4x^2-4)(12x^2-6x-6))/(2x^3-2)

simplify

\frac{( 4 x ^{2} - 4 ) ( 12 x ^{2} - 6 x - 6 )}{2 x ^{3} - 2}

\frac{2 ( x + 1 ) ( 12 x ^{2} - 6 x - 6 )}{x ^{2} + x + 1}

Solution steps

\frac{( 4 x ^{2} - 4 ) ( 12 x ^{2} - 6 x - 6 )}{2 x ^{3} - 2}

Factor

4 x^{2} - 4 : 4 (x + 1) (x - 1)

= \frac{4 ( x + 1 ) ( x - 1 ) ( 12 x ^{2} - 6 x - 6 )}{2 x ^{3} - 2}

Factor

2 x^{3} - 2 : 2 (x - 1) (x^{2} + x + 1)

= \frac{4 ( x + 1 ) ( x - 1 ) ( 12 x ^{2} - 6 x - 6 )}{2 ( x - 1 ) ( x ^{2} + x + 1 )}

Cancel the common factor:

x - 1

= \frac{4 ( x + 1 ) ( 12 x ^{2} - 6 x - 6 )}{2 ( x ^{2} + x + 1 )}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 ( x + 1 ) ( 12 x ^{2} - 6 x - 6 )}{2 ( x ^{2} + x + 1 )}

Cancel the common factor:

2

= \frac{2 ( x + 1 ) ( 12 x ^{2} - 6 x - 6 )}{x ^{2} + x + 1}

\frac{15}{90}

\frac{8}{( - 2 )}

\frac{30 x ^{3}}{45 x y ^{2}}

\frac{x ^{2} - 64}{7 x} \cdot \frac{3 x ^{3}}{x ^{2} + x - 72}

\frac{28}{15}

What is ((4x^2-4)(12x^2-6x-6))/(2x^3-2) ?
The solution to ((4x^2-4)(12x^2-6x-6))/(2x^3-2) is (2(x+1)(12x^2-6x-6))/(x^2+x+1)