What is (x^4-49x^2)/(x^3+2x^2-63x) ?

The solution to (x^4-49x^2)/(x^3+2x^2-63x) is (x(x+7))/(x+9)

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simplify (x^4-49x^2)/(x^3+2x^2-63x)

simplify

\frac{x ^{4} - 49 x ^{2}}{x ^{3} + 2 x ^{2} - 63 x}

\frac{x ( x + 7 )}{x + 9}

Solution steps

\frac{x ^{4} - 49 x ^{2}}{x ^{3} + 2 x ^{2} - 63 x}

Factor

x^{4} - 49 x^{2} : x^{2} (x + 7) (x - 7)

= \frac{x ^{2} ( x + 7 ) ( x - 7 )}{x ^{3} + 2 x ^{2} - 63 x}

Factor

x^{3} + 2 x^{2} - 63 x : x (x - 7) (x + 9)

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

Cancel the common factor:

x - 7

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx ( x + 7 )}{x ( x + 9 )}

Cancel the common factor:

x

= \frac{x ( x + 7 )}{x + 9}

(- 4 + 9 i) 2

240 (\frac{π}{180})

5 \div \frac{3}{5}

1 - \frac{1}{n + 1}

2 x^{3} + 4 x^{2} - 126

What is (x^4-49x^2)/(x^3+2x^2-63x) ?
The solution to (x^4-49x^2)/(x^3+2x^2-63x) is (x(x+7))/(x+9)