What is factor 625a^4-256b^4 ?

The solution to factor 625a^4-256b^4 is (25a^2+16b^2)(5a+4b)(5a-4b)

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factor 625a^4-256b^4

factor

625 a^{4} - 256 b^{4}

(25 a^{2} + 16 b^{2}) (5 a + 4 b) (5 a - 4 b)

Solution steps

625 a^{4} - 256 b^{4}

625 a^{4} = (25 a^{2})^{2}

256 b^{4} = (16 b^{2})^{2}

= (25 a^{2})^{2} - (16 b^{2})^{2}

Apply Difference of Two Squares Formula:

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

(25 a^{2})^{2} - (16 b^{2})^{2} = (25 a^{2} + 16 b^{2}) (25 a^{2} - 16 b^{2})

= (25 a^{2} + 16 b^{2}) (25 a^{2} - 16 b^{2})

Factor

25 a^{2} - 16 b^{2} : (5 a + 4 b) (5 a - 4 b)

= (25 a^{2} + 16 b^{2}) (5 a + 4 b) (5 a - 4 b)

x^{6} + 216

64 - 343 x^{3}

9 - 9 csc^{2} (x)

(x^{n} + y^{n})^{2}

\frac{( x ^{2} - 2 x + 1 )}{( x ^{2} - 1 )}

What is factor 625a^4-256b^4 ?
The solution to factor 625a^4-256b^4 is (25a^2+16b^2)(5a+4b)(5a-4b)