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助人为快乐之本~1.(x-6)*(x-3)2.(x+2分之一)(x-3分之一)3.(3x+2)(x+2)4.(4y-1)*(y-5)5.(x-2)(x的平方+4)6.(x-y)(x的平方+xy+y的平方)
题目详情
助人为快乐之本~
1.(x-6)*(x-3)
2.(x+ 2分之一)(x-3分之一)
3.(3x+2)(x+2)
4.(4y-1)*(y-5)
5.(x-2)(x的平方+4)
6.(x-y)(x的平方+xy+y的平方)
1.(x-6)*(x-3)
2.(x+ 2分之一)(x-3分之一)
3.(3x+2)(x+2)
4.(4y-1)*(y-5)
5.(x-2)(x的平方+4)
6.(x-y)(x的平方+xy+y的平方)
▼优质解答
答案和解析
1.(x-6)*(x-3)
=x(x-3)-6(x-3)
=x^2-3x-6x+18
=x^2-9x+18
2.(x+1/2)(x-1/3)
=x(x-1/3)+1/2(x-1/3)
=x^2-x/3+x/2-1/6
=x^2+x/6-1/6
3.(3x+2)(x+2)
=3x(x+2)+2(x+2)
=3x^2+6x+2x+4
=3x^2+8x+4
4.(4y-1)*(y-5)
=4y(y-5)-(y-5)
=4y^2-20y-y+5
=4y^2-21y-5
5.(x-2)(x^2+4)
=x(x^2+4)-2(x^2+4)
=x^3-2x^2+4x-8
6.(x-y)(x^2+xy+y^2)
=x(x^2+xy+y^2)-y(x^2+xy+y^2)
=x^3+x^2y+xy^2-x^2y-xy^2-y^3
=x^3-y^3
=x(x-3)-6(x-3)
=x^2-3x-6x+18
=x^2-9x+18
2.(x+1/2)(x-1/3)
=x(x-1/3)+1/2(x-1/3)
=x^2-x/3+x/2-1/6
=x^2+x/6-1/6
3.(3x+2)(x+2)
=3x(x+2)+2(x+2)
=3x^2+6x+2x+4
=3x^2+8x+4
4.(4y-1)*(y-5)
=4y(y-5)-(y-5)
=4y^2-20y-y+5
=4y^2-21y-5
5.(x-2)(x^2+4)
=x(x^2+4)-2(x^2+4)
=x^3-2x^2+4x-8
6.(x-y)(x^2+xy+y^2)
=x(x^2+xy+y^2)-y(x^2+xy+y^2)
=x^3+x^2y+xy^2-x^2y-xy^2-y^3
=x^3-y^3
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