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Popular >

factor (b-4)^3+64

Solution

factor

(b - 4)^{3} + 64

Solution

b (b^{2} - 12 b + 48)

Solution steps

(b - 4)^{3} + 64

Rewrite

64

as

4^{3}

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

Apply Sum of Cubes Formula:

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

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

= ((b - 4) + 4) ((b - 4)^{2} - 4 (b - 4) + 4^{2})

Refine

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

Expand

(b - 4)^{2} - 4 (b - 4) + 16 : b^{2} - 12 b + 48

= b (b^{2} - 12 b + 48)

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Frequently Asked Questions (FAQ)

What is factor (b-4)^3+64 ?
The solution to factor (b-4)^3+64 is b(b^2-12b+48)