What is ((x^4-13x^2+36))/((x+2)) ?

The solution to ((x^4-13x^2+36))/((x+2)) is (x-2)(x+3)(x-3)

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simplify ((x^4-13x^2+36))/((x+2))

simplify

\frac{( x ^{4} - 13 x ^{2} + 36 )}{( x + 2 )}

(x - 2) (x + 3) (x - 3)

Solution steps

\frac{x ^{4} - 13 x ^{2} + 36}{x + 2}

Let

u = x^{2}

= \frac{u ^{2} - 13 u + 36}{x + 2}

Factor

u^{2} - 13 u + 36 : (u - 4) (u - 9)

= \frac{( u - 4 ) ( u - 9 )}{x + 2}

Substitute back

u = x^{2}

= \frac{( x ^{2} - 4 ) ( x ^{2} - 9 )}{x + 2}

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 2

= (x - 2) (x + 3) (x - 3)

- (- z + 1 (z - 4 (- 6 z + 5 (- 9 z - 7 (z - (z + b))))))

- \frac{17}{4} \cdot \frac{4}{9} + (669.5 \cdot \frac{40}{927})

\frac{4}{3} \cdot 3.14 \cdot 3^{3}

2 a^{4} - 2 b^{4}

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

What is ((x^4-13x^2+36))/((x+2)) ?
The solution to ((x^4-13x^2+36))/((x+2)) is (x-2)(x+3)(x-3)