What is factor 81a^4-64b^4 ?

The solution to factor 81a^4-64b^4 is (9a^2+8b^2)(9a^2-8b^2)

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factor 81a^4-64b^4

factor

81 a^{4} - 64 b^{4}

(9 a^{2} + 8 b^{2}) (9 a^{2} - 8 b^{2})

Solution steps

81 a^{4} - 64 b^{4}

81 a^{4} = (9 a^{2})^{2}

64 b^{4} = (8 b^{2})^{2}

= (9 a^{2})^{2} - (8 b^{2})^{2}

Apply Difference of Two Squares Formula:

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

(9 a^{2})^{2} - (8 b^{2})^{2} = (9 a^{2} + 8 b^{2}) (9 a^{2} - 8 b^{2})

= (9 a^{2} + 8 b^{2}) (9 a^{2} - 8 b^{2})

32 \cdot 6

24 v - vu - 3 u + 8 v^{2}

x^{5} - x^{4}

\frac{11}{16}

1 0^{- 3.64}

What is factor 81a^4-64b^4 ?
The solution to factor 81a^4-64b^4 is (9a^2+8b^2)(9a^2-8b^2)