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Popular >

factor 27p^3+q^3

Solution

factor

27 p^{3} + q^{3}

Solution

(3 p + q) (9 p^{2} - 3 pq + q^{2})

Solution steps

27 p^{3} + q^{3}

Apply exponent rules

= (3 p)^{3} + q^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 p)^{2} - 3 pq + q^{2} : 9 p^{2} - 3 pq + q^{2}

= (3 p + q) (9 p^{2} - 3 pq + q^{2})

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Frequently Asked Questions (FAQ)

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