(1)2x(y-z)+3(z-y)
=(2x-3)(y-z)
(2)9(x+y)的平方-4(x-y)的平方
=(3(x+y)+2(x-y))(3(x+y)-2(x-y))
=(5x+y)(x+5y)
(3)(a-b)的平方-10(a-b)+25
=(a-b-5)^2
(4)ab的2次方+6a的2次方b+9a的3次方
=a(b^2+6ab+9a^2)
=a(b+3a)^2
(5)x的2次方-5x-14
=(x-7)(x+2)
(6)x的2次方-1+2xy+y的平方
=(x+y)^2-1
=(x+y+1)(x+y-1)
1.已知a的m次方等于3,a的n次方等于2,那么a的m+n+2次方的值是?
a^(m+n+2)=a^m*a^n*a^2=3*2*a^2=6a^2
2.已知m+m/1=5,那么m的2次方+m的2次方分之1的值为?
m^2+(1/m)^2=(m+1/m)^2-2=5^2-2=23
1.9x^3+6x^2+x
=x(3x+1)^2
2.25x^3y-20x^2y^2+4xy^3
=xy(25x^2-20xy+4y^2)
=xy(5x-2y)^2
3.2x^2-32 =2(x+4)(x-4)
4.16x^2-9y^2 =(4x+3y)(4x-3y)
(a+4b-2c)(a-4b+2c)
=a^2-(4b-2c)^2
=a^2-16b^2+16bc-4c^2