What is ((2a-2b)^2)/(a-b) ?

The solution to ((2a-2b)^2)/(a-b) is 4a-4b

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simplify ((2a-2b)^2)/(a-b)

simplify

\frac{( 2 a - 2 b ) ^{2}}{a - b}

4 a - 4 b

Solution steps

\frac{( 2 a - 2 b ) ^{2}}{a - b}

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

a - b

= 4 (a - b)

Apply the distributive law:

a (b - c) = ab - a c

4 (a - b) = 4 a - 4 b

= 4 a - 4 b

- 7 \leq - 7

x^{3} + x^{2} - 8 x - 12

875

2 x + 12 = 2 (x + 6)

x + 9 = 2