What is (5a^2-20)/((a-2)^2) ?

The solution to (5a^2-20)/((a-2)^2) is (5(a+2))/(a-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5a^2-20)/((a-2)^2)

simplify

\frac{5 a ^{2} - 20}{( a - 2 ) ^{2}}

\frac{5 ( a + 2 )}{a - 2}

Solution steps

\frac{5 a ^{2} - 20}{( a - 2 ) ^{2}}

Factor

5 a^{2} - 20 : 5 (a^{2} - 4)

= \frac{5 ( a ^{2} - 4 )}{( a - 2 ) ^{2}}

Factor

a^{2} - 4 : (a + 2) (a - 2)

= \frac{5 ( a + 2 ) ( a - 2 )}{( a - 2 ) ^{2}}

Apply exponent rule:

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

(a - 2)^{2} = (a - 2) (a - 2)

= \frac{5 ( a + 2 ) ( a - 2 )}{( a - 2 ) ( a - 2 )}

Cancel the common factor:

a - 2

= \frac{5 ( a + 2 )}{a - 2}

\frac{33}{88}

e^{2 l n (x + 1) + 3}

- (a + b) + (- a - b) - (- b + a) + (3 a + b)

- 2 \cdot 16

\frac{7}{3} \div \frac{11}{16}

What is (5a^2-20)/((a-2)^2) ?
The solution to (5a^2-20)/((a-2)^2) is (5(a+2))/(a-2)