What is factor 25-36x^4 ?

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

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factor 25-36x^4

factor

25 - 36 x^{4}

(5 + 6 x^{2}) (5 - 6 x^{2})

Solution steps

25 - 36 x^{4}

Apply exponent rules

= 5^{2} - (6 x^{2})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

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

(2 x - 3) (3 x - 5)

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