What is expand (9x^2(x-7)^2)/((x+5)^2) ?

The solution to expand (9x^2(x-7)^2)/((x+5)^2) is (9x^4-126x^3+441x^2)/(x^2+10x+25)

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expand (9x^2(x-7)^2)/((x+5)^2)

expand

\frac{9 x ^{2} ( x - 7 ) ^{2}}{( x + 5 ) ^{2}}

\frac{9 x ^{4} - 126 x ^{3} + 441 x ^{2}}{x ^{2} + 10 x + 25}

Solution steps

\frac{9 x ^{2} ( x - 7 ) ^{2}}{( x + 5 ) ^{2}}

(x + 5)^{2} = x^{2} + 10 x + 25

= \frac{9 x ^{2} ( x - 7 ) ^{2}}{x ^{2} + 10 x + 25}

(x - 7)^{2} = x^{2} - 14 x + 49

= \frac{9 x ^{2} ( x ^{2} - 14 x + 49 )}{x ^{2} + 10 x + 25}

Expand

9 x^{2} (x^{2} - 14 x + 49) : 9 x^{4} - 126 x^{3} + 441 x^{2}

= \frac{9 x ^{4} - 126 x ^{3} + 441 x ^{2}}{x ^{2} + 10 x + 25}

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

e^{7 t} (27 \cdot U (t - 18))

\frac{( X ^{3} + X ^{2} + 5 X + 4 )}{( X ^{2} + 4 ) ^{2}}

x^{3} (x ln (x) - x)

What is expand (9x^2(x-7)^2)/((x+5)^2) ?
The solution to expand (9x^2(x-7)^2)/((x+5)^2) is (9x^4-126x^3+441x^2)/(x^2+10x+25)