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Popular >

factor 64p^3-8p^3

Solution

factor

64 p^{3} - 8 p^{3}

Solution

56 p^{3}

Solution steps

64 p^{3} - 8 p^{3}

Rewrite

64 p^{3}

as

(2^{2} p)^{3}

Rewrite

8 p^{3}

as

(2 p)^{3}

= (2^{2} p)^{3} - (2 p)^{3}

Apply Difference of Cubes Formula:

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

(2^{2} p)^{3} - (2 p)^{3} = (2^{2} p - 2 p) ((2^{2} p)^{2} + 2 p 2^{2} p + (2 p)^{2})

= (2^{2} p - 2 p) ((2 p)^{2} + 2 p 2^{2} p + (2^{2} p)^{2})

Simplify

(2^{2} p - 2 p) ((2^{2} p)^{2} + 2 p \cdot 2^{2} p + (2 p)^{2}) : 56 p^{3}

= 56 p^{3}

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Frequently Asked Questions (FAQ)

What is factor 64p^3-8p^3 ?
The solution to factor 64p^3-8p^3 is 56p^3