What is (8b^2-8a^2)/(a^2-2ab+b^2) ?

The solution to (8b^2-8a^2)/(a^2-2ab+b^2) is (8(b+a))/(b-a)

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simplify (8b^2-8a^2)/(a^2-2ab+b^2)

simplify

\frac{8 b ^{2} - 8 a ^{2}}{a ^{2} - 2 ab + b ^{2}}

\frac{8 ( b + a )}{b - a}

Solution steps

\frac{8 b ^{2} - 8 a ^{2}}{a ^{2} - 2 ab + b ^{2}}

Factor

8 b^{2} - 8 a^{2} : 8 (b + a) (b - a)

= \frac{8 ( b + a ) ( b - a )}{a ^{2} - 2 ab + b ^{2}}

Factor

a^{2} - 2 ba + b^{2} : (b - a)^{2}

= \frac{8 ( b + a ) ( b - a )}{( b - a ) ^{2}}

Apply exponent rule:

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

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

= \frac{8 ( b + a ) ( b - a )}{( b - a ) ( b - a )}

Cancel the common factor:

b - a

= \frac{8 ( b + a )}{b - a}

2 x^{2} + 3 x \leq 9

(\frac{2}{x ^{- 2}})^{- 2}

5 x + 3 x = 16

x^{4} y^{5} + y

7 z - 1 = 27

What is (8b^2-8a^2)/(a^2-2ab+b^2) ?
The solution to (8b^2-8a^2)/(a^2-2ab+b^2) is (8(b+a))/(b-a)