What is factor 270z^{11}-80z^8 ?

The solution to factor 270z^{11}-80z^8 is 10z^8(3z-2)(9z^2+6z+4)

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factor 270z^{11}-80z^8

factor

270 z^{11} - 80 z^{8}

10 z^{8} (3 z - 2) (9 z^{2} + 6 z + 4)

Solution steps

270 z^{11} - 80 z^{8}

Factor out common term

10 z^{8} : 10 z^{8} (27 z^{3} - 8)

= 10 z^{8} (27 z^{3} - 8)

Factor

27 z^{3} - 8 : (3 z - 2) (3^{2} z^{2} + 2 \cdot 3 z + 2^{2})

= 10 z^{8} (3 z - 2) (3^{2} z^{2} + 2 \cdot 3 z + 2^{2})

Simplify

10 z^{8} (3 z - 2) (3^{2} z^{2} + 2 \cdot 3 z + 2^{2}) : 10 z^{8} (3 z - 2) (9 z^{2} + 6 z + 4)

= 10 z^{8} (3 z - 2) (9 z^{2} + 6 z + 4)

23 0^{2}

y^{2} + 7 y - 144

- \frac{7}{2} + 4

\frac{1}{2} \times \frac{4}{2}

(t^{- 2})^{2}

What is factor 270z^{11}-80z^8 ?
The solution to factor 270z^{11}-80z^8 is 10z^8(3z-2)(9z^2+6z+4)