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

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

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factor 27x^3+125z^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

\frac{1.86}{0.3} - \frac{1}{6} \times (19.3 - \frac{14}{5}) + 0.3 \times 6.8

(5 x \cdot + 7 y) (5 x \cdot + 7 y)

(3 y + 4 y)^{3}

1 (5 x - 2) + (- 2) (9 x)

(\frac{1 + 1}{n})^{n}

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