What is (x^2-8x+16)/(3x-12) ?

The solution to (x^2-8x+16)/(3x-12) is (x-4)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-8x+16)/(3x-12)

simplify

\frac{x ^{2} - 8 x + 16}{3 x - 12}

\frac{x - 4}{3}

Solution steps

\frac{x ^{2} - 8 x + 16}{3 x - 12}

Factor

x^{2} - 8 x + 16 : (x - 4)^{2}

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

Factor

3 x - 12 : 3 (x - 4)

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

Apply exponent rule:

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

(x - 4)^{2} = (x - 4) (x - 4)

= \frac{( x - 4 ) ( x - 4 )}{3 ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x - 4}{3}

(n - 19) (n + 10)

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

7 m - 3 n + [4 m + (3 m - 4 n) - (5 m - 2 n) + 6 m] - 8 m

\frac{7}{x ^{2} + 6 x + 8} - \frac{x}{x + 2}

3 + (- 6)