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

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

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

simplify

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

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

Solution steps

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

Add similar elements:

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

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

\int_{1}^{4} \frac{1}{9 + ( x - 1 ) ^{2}} d x

\frac{d}{d x} (24 x - 4 x)

\frac{8 x}{x}

\int \frac{x ^{3}}{2} + \frac{1}{2 x ^{3}} d x

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