What is factor 9a^2-25b^4 ?

The solution to factor 9a^2-25b^4 is (3a+5b^2)(3a-5b^2)

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factor 9a^2-25b^4

factor

9 a^{2} - 25 b^{4}

(3 a + 5 b^{2}) (3 a - 5 b^{2})

Solution steps

9 a^{2} - 25 b^{4}

9 a^{2} = (3 a)^{2}

25 b^{4} = (5 b^{2})^{2}

= (3 a)^{2} - (5 b^{2})^{2}

Apply Difference of Two Squares Formula:

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

(3 a)^{2} - (5 b^{2})^{2} = (3 a + 5 b^{2}) (3 a - 5 b^{2})

= (3 a + 5 b^{2}) (3 a - 5 b^{2})

2 \div \frac{5}{12}

1 - \frac{2}{2}

(2 + 5 i) (- 1 + 5 i)

\frac{4}{5} \cdot 75

(2 x^{2} + 3 x - 6) (x - 1)

What is factor 9a^2-25b^4 ?
The solution to factor 9a^2-25b^4 is (3a+5b^2)(3a-5b^2)