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Popular >

factor (b+3)^3-27

Solution

factor

(b + 3)^{3} - 27

Solution

b (b^{2} + 9 b + 27)

Solution steps

(b + 3)^{3} - 27

Rewrite

27

as

3^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Refine

= b ((b + 3)^{2} + 3 (b + 3) + 9)

Expand

(b + 3)^{2} + 3 (b + 3) + 9 : b^{2} + 9 b + 27

= b (b^{2} + 9 b + 27)

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Frequently Asked Questions (FAQ)

What is factor (b+3)^3-27 ?
The solution to factor (b+3)^3-27 is b(b^2+9b+27)