What is (25-36x^4)/(5-6x^2) ?

The solution to (25-36x^4)/(5-6x^2) is 5+6x^2

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simplify (25-36x^4)/(5-6x^2)

simplify

\frac{25 - 36 x ^{4}}{5 - 6 x ^{2}}

5 + 6 x^{2}

Solution steps

\frac{25 - 36 x ^{4}}{5 - 6 x ^{2}}

Factor

25 - 36 x^{4} : (5 + 6 x^{2}) (5 - 6 x^{2})

= \frac{( 5 + 6 x ^{2} ) ( 5 - 6 x ^{2} )}{5 - 6 x ^{2}}

Cancel the common factor:

5 - 6 x^{2}

= 5 + 6 x^{2}

\frac{x ^{2} - 14 x + 49}{6 x ^{2} - 42 x}

\frac{2 x ^{2} + 4 x}{x ^{2} + 5 x + 6}

(2 a - 3) (a + 3)

10 x - 8 x + 2 + 10

(- 5 i) (- 3 i)