What is factor 125p^3+q^3 ?

The solution to factor 125p^3+q^3 is (5p+q)(25p^2-5pq+q^2)

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factor 125p^3+q^3

factor

125 p^{3} + q^{3}

(5 p + q) (25 p^{2} - 5 pq + q^{2})

Solution steps

125 p^{3} + q^{3}

Apply exponent rules

= (5 p)^{3} + q^{3}

Apply Sum of Cubes Formula:

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

(5 p)^{3} + q^{3} = (5 p + q) ((5 p)^{2} - 5 pq + q^{2})

= (5 p + q) ((5 p)^{2} - 5 pq + q^{2})

Simplify

(5 p)^{2} - 5 pq + q^{2} : 25 p^{2} - 5 pq + q^{2}

= (5 p + q) (25 p^{2} - 5 pq + q^{2})

5 x^{3} \cdot y^{3} + 2 x \cdot y^{2}

(sin (x)) \cdot [sin (x)]^{2} \cdot lo g_{1 + s i n (x)} (2)

(x + 3) 2 + (y - 5) 2

(2 x + 3 y)^{3} - 5 (2 x + 3 y)

(a^{d}) (6^{3}) (a^{2})

What is factor 125p^3+q^3 ?
The solution to factor 125p^3+q^3 is (5p+q)(25p^2-5pq+q^2)