What is 8((4x-7)/(x+1))^2+7 ?

The solution to 8((4x-7)/(x+1))^2+7 is (8(4x-7)^2)/((x+1)^2)+7

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simplify 8((4x-7)/(x+1))^2+7

simplify

8 (\frac{4 x - 7}{x + 1})^{2} + 7

\frac{8 ( 4 x - 7 ) ^{2}}{( x + 1 ) ^{2}} + 7

Solution steps

8 (\frac{4 x - 7}{x + 1})^{2} + 7

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{4 x - 7}{x + 1})^{2} = \frac{( 4 x - 7 ) ^{2}}{( x + 1 ) ^{2}}

= 8 \cdot \frac{( 4 x - 7 ) ^{2}}{( x + 1 ) ^{2}} + 7

Simplify

8 \cdot \frac{( 4 x - 7 ) ^{2}}{( x + 1 ) ^{2}} : \frac{8 ( 4 x - 7 ) ^{2}}{( x + 1 ) ^{2}}

= \frac{8 ( 4 x - 7 ) ^{2}}{( x + 1 ) ^{2}} + 7

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What is 8((4x-7)/(x+1))^2+7 ?
The solution to 8((4x-7)/(x+1))^2+7 is (8(4x-7)^2)/((x+1)^2)+7