What is (-8a^2+12ab-4b^2)/(b-a) ?

The solution to (-8a^2+12ab-4b^2)/(b-a) is 8a-4b

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simplify (-8a^2+12ab-4b^2)/(b-a)

simplify

\frac{- 8 a ^{2} + 12 ab - 4 b ^{2}}{b - a}

8 a - 4 b

Solution steps

\frac{- 8 a ^{2} + 12 ab - 4 b ^{2}}{b - a}

Factor

- 8 a^{2} + 12 ab - 4 b^{2} : - 4 (2 a^{2} - 3 ab + b^{2})

= \frac{- 4 ( 2 a ^{2} - 3 ab + b ^{2} )}{b - a}

Factor

2 a^{2} - 3 ab + b^{2} : (2 a - b) (a - b)

= \frac{- 4 ( 2 a - b ) ( a - b )}{b - a}

b - a = - (a - b)

= \frac{- 4 ( 2 a - b ) ( a - b )}{- ( a - b )}

Cancel the common factor:

a - b

= \frac{- 4 ( 2 a - b )}{- 1}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{4 ( 2 a - b )}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 4 (2 a - b)

Expand

4 (2 a - b) : 8 a - 4 b

= 8 a - 4 b

2^{- (- 2)}

x^{4} - \frac{1}{16}

(4 - 2 i) (1 - 2 i)

(12 + 3)^{2}

\frac{- 26 - 26 i}{- 6 + 4 i}

What is (-8a^2+12ab-4b^2)/(b-a) ?
The solution to (-8a^2+12ab-4b^2)/(b-a) is 8a-4b