What is factor 64x^8-(4y-3z)^2 ?

The solution to factor 64x^8-(4y-3z)^2 is (8x^4+4y-3z)(8x^4-4y+3z)

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factor 64x^8-(4y-3z)^2

factor

64 x^{8} - (4 y - 3 z)^{2}

(8 x^{4} + 4 y - 3 z) (8 x^{4} - 4 y + 3 z)

Solution steps

64 x^{8} - (4 y - 3 z)^{2}

Simplify

64 x^{8} : (8 x^{4})^{2}

= (8 x^{4})^{2} - (4 y - 3 z)^{2}

Apply Difference of Two Squares Formula:

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

(8 x^{4})^{2} - (4 y - 3 z)^{2} = (8 x^{4} + (4 y - 3 z)) (8 x^{4} - (4 y - 3 z))

= (8 x^{4} + (4 y - 3 z)) (8 x^{4} - (4 y - 3 z))

Simplify

(8 x^{4} + (4 y - 3 z)) (8 x^{4} - (4 y - 3 z)) : (8 x^{4} + 4 y - 3 z) (8 x^{4} - 4 y + 3 z)

= (8 x^{4} + 4 y - 3 z) (8 x^{4} - 4 y + 3 z)

8 7^{2}

\frac{3}{8} \times \frac{8}{3}

\frac{1}{90}

20 n^{2} + 44 n - 15

\frac{5}{6} \cdot 30

What is factor 64x^8-(4y-3z)^2 ?
The solution to factor 64x^8-(4y-3z)^2 is (8x^4+4y-3z)(8x^4-4y+3z)