Algebra Examples

$\frac{64 - 2 a b}{{(a - 8)}^{2}} + \frac{2 a b - a^{2}}{{(8 - a)}^{2}}$

Step 1

Factor $2$ out of $64 - 2 a b$ .

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Step 1.1

Factor $2$ out of $64$ .

$\frac{2 (32) - 2 a b}{{(a - 8)}^{2}} + \frac{2 a b - a^{2}}{{(8 - a)}^{2}}$

Step 1.2

Factor $2$ out of $- 2 a b$ .

$\frac{2 (32) + 2 (- a b)}{{(a - 8)}^{2}} + \frac{2 a b - a^{2}}{{(8 - a)}^{2}}$

Step 1.3

Factor $2$ out of $2 (32) + 2 (- a b)$ .

$\frac{2 (32 - a b)}{{(a - 8)}^{2}} + \frac{2 a b - a^{2}}{{(8 - a)}^{2}}$

Step 2

Factor $a$ out of $2 a b - a^{2}$ .

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Step 2.1

Factor $a$ out of $2 a b$ .

$\frac{2 (32 - a b)}{{(a - 8)}^{2}} + \frac{a (2 b) - a^{2}}{{(8 - a)}^{2}}$

Step 2.2

Factor $a$ out of $- a^{2}$ .

$\frac{2 (32 - a b)}{{(a - 8)}^{2}} + \frac{a (2 b) + a (- a)}{{(8 - a)}^{2}}$

Step 2.3

Factor $a$ out of $a (2 b) + a (- a)$ .

$\frac{2 (32 - a b)}{{(a - 8)}^{2}} + \frac{a (2 b - a)}{{(8 - a)}^{2}}$