Question

分组分解法 因式分解 急！！！！！

2ax-10ay+5by-bx

3ax+4by+4ay+3bx

m平方+5n-mn-5m

20(x+y)+x+y

X平方-y平方+ax+ay

a平方-2ab+b平方-c平方

x立方+x平方y-xy2-y立方

4a平方-b平方+6a-3b

Answer 1

2ax-10ay+5by-bx
=2a(x-5y)-b(x-5y)
=(2a-b)(x-5y)

3ax+4by+4ay+3bx
=3x(a+b)+4y(a+b)
=(3x+4y)(a+b)

m平方+5n-mn-5m
=m(m-n)-5(m-n)
=(m-5)(m-n)

20(x+y)+x+y
=(x+y)(20+1)
=21(x+y)

X平方-y平方+ax+ay
=(x+y)(x-y)+a(x+y)
=(x+y)(x-y+a)

a平方-2ab+b平方-c平方
=(a-b)平方-c平方
=（a-b+c)(a-b-c)

x立方+x平方y-xy2-y立方
=(x-y)(x平方+xy+y平方）+xy(x-y)
=(x-y)(x平方+2xy+y平方)
=(x-y)(x+y)平方

4a平方-b平方+6a-3b
=(2a+b)(2a-b)+3(2a-b)
=(2a-b)(2a+b+30

Answer 2

20(x+y)+x+y=20(x+y)+(x+y)=21(x+y)

X平方-y平方+ax+ay=(x+y)(x-y)+a(x+y)=(x+y)(x-y+a)

a平方-2ab+b平方-c平方=(a-b)²-c²=(a-b+c)(a-b-c)

x立方+x平方y-xy2-y立方=x²(x+y)-y²(x+y)=(x+y)(x²-y²)=(x+y)(x+y)(x-y)=(x+y)²(x-y)

4a平方-b平方+6a-3b=(2a+b)(2a-b)+3(2a-b)=(2a-b)(2a+b+3)