因数 270z^{11}-80z^8

解

因数

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

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

解答ステップ

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

共通項をくくり出す

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

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

因数

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})

簡素化

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)