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Popular >

factor 27b^3+1

Solution

factor

27 b^{3} + 1

Solution

(3 b + 1) (9 b^{2} - 3 b + 1)

Solution steps

27 b^{3} + 1

Apply exponent rules

= (3 b)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(3 b)^{3} + 1^{3} = (3 b + 1) (3^{2} b^{2} - 3 b + 1)

= (3 b + 1) (3^{2} b^{2} - 3 b + 1)

3^{2} = 9

= (3 b + 1) (9 b^{2} - 3 b + 1)

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Frequently Asked Questions (FAQ)

What is factor 27b^3+1 ?
The solution to factor 27b^3+1 is (3b+1)(9b^2-3b+1)