簡約 5(3-4x)^2-8(3-4x)(5x-1)

解

簡約

5 (3 - 4 x)^{2} - 8 (3 - 4 x) (5 x - 1)

240 x^{2} - 272 x + 69

解答ステップ

5 (3 - 4 x)^{2} - 8 (3 - 4 x) (5 x - 1)

拡張

5 (3 - 4 x)^{2} : 45 - 120 x + 80 x^{2}

= 45 - 120 x + 80 x^{2} - 8 (3 - 4 x) (5 x - 1)

拡張

- 8 (3 - 4 x) (5 x - 1) : 160 x^{2} - 152 x + 24

= 45 - 120 x + 80 x^{2} + 160 x^{2} - 152 x + 24

類似した元を足す:

80 x^{2} + 160 x^{2} = 240 x^{2}

= 45 - 120 x + 240 x^{2} - 152 x + 24

条件のようなグループ

= 240 x^{2} - 120 x - 152 x + 45 + 24

類似した元を足す:

- 120 x - 152 x = - 272 x

= 240 x^{2} - 272 x + 45 + 24

数を足す:

45 + 24 = 69

= 240 x^{2} - 272 x + 69