What is expand (3x^2-5)/(3(x+h)^2-5) ?

The solution to expand (3x^2-5)/(3(x+h)^2-5) is (3x^2-5)/(3x^2+6xh+3h^2-5)

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expand (3x^2-5)/(3(x+h)^2-5)

expand

\frac{3 x ^{2} - 5}{3 ( x + h ) ^{2} - 5}

\frac{3 x ^{2} - 5}{3 x ^{2} + 6 x h + 3 h ^{2} - 5}

Solution steps

\frac{3 x ^{2} - 5}{3 ( x + h ) ^{2} - 5}

(x + h)^{2} = x^{2} + 2 x h + h^{2}

= \frac{3 x ^{2} - 5}{3 ( x ^{2} + 2 x h + h ^{2} ) - 5}

Expand

3 (x^{2} + 2 x h + h^{2}) - 5 : 3 x^{2} + 6 x h + 3 h^{2} - 5

= \frac{3 x ^{2} - 5}{3 x ^{2} + 6 x h + 3 h ^{2} - 5}

3 (1 - cos (x) = (sin^{2} (x)))

\frac{4 ( x + h ) + 9}{9 ( x + h ) - 8}

\frac{5}{s ( s + 1 )}

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

y \frac{d}{d x} ((y) (x + 3) (y^{2} + 3))

What is expand (3x^2-5)/(3(x+h)^2-5) ?
The solution to expand (3x^2-5)/(3(x+h)^2-5) is (3x^2-5)/(3x^2+6xh+3h^2-5)