What is factor 8p^3+125q^3 ?

The solution to factor 8p^3+125q^3 is (2p+5q)(4p^2-10pq+25q^2)

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factor 8p^3+125q^3

factor

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

(2 p + 5 q) (4 p^{2} - 10 pq + 25 q^{2})

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 p)^{2} - 2 p \cdot 5 q + (5 q)^{2} : 4 p^{2} - 10 pq + 25 q^{2}

= (2 p + 5 q) (4 p^{2} - 10 pq + 25 q^{2})

6 lo g_{3} (u) + 6 lo g_{3} (v)

\frac{h}{3} \leq 3

2 + 5 x + 8 = 0

ln (e^{- 2})

15 (2 x - 10) + 4 x = - 3 (15 x + 4)

What is factor 8p^3+125q^3 ?
The solution to factor 8p^3+125q^3 is (2p+5q)(4p^2-10pq+25q^2)