What is factor 27p^3+125z^3 ?

The solution to factor 27p^3+125z^3 is (3p+5z)(9p^2-15pz+25z^2)

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factor 27p^3+125z^3

factor

27 p^{3} + 125 z^{3}

(3 p + 5 z) (9 p^{2} - 15 p z + 25 z^{2})

Solution steps

27 p^{3} + 125 z^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 p)^{2} - 3 p \cdot 5 z + (5 z)^{2} : 9 p^{2} - 15 p z + 25 z^{2}

= (3 p + 5 z) (9 p^{2} - 15 p z + 25 z^{2})

- 2 (y + 6) + 6 y = 4 (y - 3)

16 \cdot 9

\frac{\frac{7}{y} + \frac{2}{x}}{- 8 x}

40 + 90

\frac{1}{2} (- 2)^{2}

What is factor 27p^3+125z^3 ?
The solution to factor 27p^3+125z^3 is (3p+5z)(9p^2-15pz+25z^2)