
1.计算 (1) (x-1)(x^2+x+1) (2) -5x(-x^2+2x+1)-(2x+3)(5-x^2) (3)(3x-y)(y+3x
1.计算(1)(x-1)(x^2+x+1)(2)-5x(-x^2+2x+1)-(2x+3)(5-x^2)(3)(3x-y)(y+3x)-(x-3y)(4x+3y)...
1.计算
(1) (x-1)(x^2+x+1) (2) -5x(-x^2+2x+1)-(2x+3)(5-x^2)
(3)(3x-y)(y+3x)-(x-3y)(4x+3y) 展开
(1) (x-1)(x^2+x+1) (2) -5x(-x^2+2x+1)-(2x+3)(5-x^2)
(3)(3x-y)(y+3x)-(x-3y)(4x+3y) 展开
展开全部
(1) (x-1)(x^2+x+1)
=x³-1³ (立方公式)
=x³-1
(2) -5x(-x^2+2x+1)-(2x+3)(5-x^2)
=5x³-10x²-5x+2x³-10x-15+3x²
=7x³-7x²-15x-15
(3)(3x-y)(y+3x)-(x-3y)(4x+3y)
=9x²-y²-4x²+9xy+9y²
=5x²+9xy+8y²
=x³-1³ (立方公式)
=x³-1
(2) -5x(-x^2+2x+1)-(2x+3)(5-x^2)
=5x³-10x²-5x+2x³-10x-15+3x²
=7x³-7x²-15x-15
(3)(3x-y)(y+3x)-(x-3y)(4x+3y)
=9x²-y²-4x²+9xy+9y²
=5x²+9xy+8y²
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