What is factor 16a^6-25b^2 ?

The solution to factor 16a^6-25b^2 is (4a^3+5b)(4a^3-5b)

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factor 16a^6-25b^2

factor

16 a^{6} - 25 b^{2}

(4 a^{3} + 5 b) (4 a^{3} - 5 b)

Solution steps

16 a^{6} - 25 b^{2}

16 a^{6} = (4 a^{3})^{2}

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

= (4 a^{3})^{2} - (5 b)^{2}

Apply Difference of Two Squares Formula:

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

(4 a^{3})^{2} - (5 b)^{2} = (4 a^{3} + 5 b) (4 a^{3} - 5 b)

= (4 a^{3} + 5 b) (4 a^{3} - 5 b)

6 x^{3} + 23 x^{2} + 9 x - 18

x (2 x^{2} - 8)

(5) (- 3) (4) (- 9) (1)

\frac{y ^{4}}{y ^{3}}

What is factor 16a^6-25b^2 ?
The solution to factor 16a^6-25b^2 is (4a^3+5b)(4a^3-5b)