What is expand-(2(4a^2b^2+3))/b ?

The solution to expand-(2(4a^2b^2+3))/b is -8a^2b-6/b

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expand-(2(4a^2b^2+3))/b

expand

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

- 8 a^{2} b - \frac{6}{b}

Solution steps

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

Expand

2 (4 a^{2} b^{2} + 3) : 8 a^{2} b^{2} + 6

= - \frac{8 a ^{2} b ^{2} + 6}{b}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{8 a ^{2} b ^{2} + 6}{b} = - (\frac{8 a ^{2} b ^{2}}{b}) - (\frac{6}{b})

= - (\frac{8 a ^{2} b ^{2}}{b}) - (\frac{6}{b})

Remove parentheses:

(a) = a

= - \frac{8 a ^{2} b ^{2}}{b} - \frac{6}{b}

Cancel

\frac{8 a ^{2} b ^{2}}{b} : 8 a^{2} b

= - 8 a^{2} b - \frac{6}{b}

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What is expand-(2(4a^2b^2+3))/b ?
The solution to expand-(2(4a^2b^2+3))/b is -8a^2b-6/b