What is 3((x+1)/(sqrt(x-1)))^2 ?

The solution to 3((x+1)/(sqrt(x-1)))^2 is (3(x+1)^2)/(x-1)

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simplify 3((x+1)/(sqrt(x-1)))^2

simplify

3 (\frac{x + 1}{x - 1})^{2}

\frac{3 ( x + 1 ) ^{2}}{x - 1}

Solution steps

3 (\frac{x + 1}{x - 1})^{2}

Apply exponent rule:

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

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

= 3 \cdot \frac{( x + 1 ) ^{2}}{( x - 1 ) ^{2}}

(x - 1)^{2} = x - 1

= 3 \cdot \frac{( x + 1 ) ^{2}}{x - 1}

Apply the fraction rule:

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

= \frac{3 ( x + 1 ) ^{2}}{x - 1}

48 \times 2

233

\frac{21 m n ^{3} x ^{6}}{28 m ^{4} n ^{2} x ^{2}}

\frac{1 + \frac{1}{3}}{2}

(1 - 2 x + x^{2})^{2}

What is 3((x+1)/(sqrt(x-1)))^2 ?
The solution to 3((x+1)/(sqrt(x-1)))^2 is (3(x+1)^2)/(x-1)