What is (5x^2-45)/(x^3+2x^2-11x-12) ?

The solution to (5x^2-45)/(x^3+2x^2-11x-12) is (5(x+3))/((x+1)(x+4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5x^2-45)/(x^3+2x^2-11x-12)

simplify

\frac{5 x ^{2} - 45}{x ^{3} + 2 x ^{2} - 11 x - 12}

\frac{5 ( x + 3 )}{( x + 1 ) ( x + 4 )}

Solution steps

\frac{5 x ^{2} - 45}{x ^{3} + 2 x ^{2} - 11 x - 12}

Factor

5 x^{2} - 45 : 5 (x + 3) (x - 3)

= \frac{5 ( x + 3 ) ( x - 3 )}{x ^{3} + 2 x ^{2} - 11 x - 12}

Factor

x^{3} + 2 x^{2} - 11 x - 12 : (x + 1) (x - 3) (x + 4)

= \frac{5 ( x + 3 ) ( x - 3 )}{( x + 1 ) ( x - 3 ) ( x + 4 )}

Cancel the common factor:

x - 3

= \frac{5 ( x + 3 )}{( x + 1 ) ( x + 4 )}

2 x^{3} + 2 x

- 2 x^{2} + 6 x - 4

\frac{\frac{1}{1}}{3}

a^{2} + 17 a + 72

\frac{1}{E - 0.5} - \frac{1}{E + 1}

What is (5x^2-45)/(x^3+2x^2-11x-12) ?
The solution to (5x^2-45)/(x^3+2x^2-11x-12) is (5(x+3))/((x+1)(x+4))