Question

因式分解急急急！！！！1． a(m＋n)－b(m＋n) ⒉ xy(a－b)＋x(a－b) 3． n(x＋y)＋x＋y ⒋ a－b－q(a－b)

1． a(m＋n)－b(m＋n) ⒉ xy(a－b)＋x(a－b)3． n(x＋y)＋x＋y ⒋ a－b－q(a－b)5． p(m－n)－m＋n ⒍ 2a－4b－m(a－2b)7． a2＋ac－ab－bc ⒏ 3a－6b－ax＋2bx9． 2x3－x2＋6x－3 ⒑ 2ax＋6bx＋7ay＋21by⒒ xy＋x－y－1 ⒓ ax2＋bx2 －ay2－by2⒔ x3－2x2y－4xy2＋8y3 ⒕ 3m－3y－ma＋ay⒖ 4x3＋4x2y－9xy2－9y3 ⒗ x3y－3x2－2x2y2＋6xy

Answer 1

解：
1． a(m＋n)－b(m＋n)
=(a-b)(m+n)
⒉ xy(a－b)＋x(a－b)
=x(y-1)(a-b)
3． n(x＋y)＋x＋y
=(n+1)(x+y)
⒋ a－b－q(a－b)
=(a-b)(1-q)
5． p(m－n)－m＋n
=(p-1)(m-n)
⒍ 2a－4b－m(a－2b)
=(2-m)(a-2b)
7． a2＋ac－ab－bc
=a(a+c)-b(a+c)
=(a-b)(a+c)
⒏ 3a－6b－ax＋2bx
=3(a-2b)-x(a-2b)
=(3-x)(a-2b)
9． 2x³－x²＋6x－3
=x²(2x-1)+3(2x-1)
=(x²+3)(2x-1)
⒑ 2ax＋6bx＋7ay＋21by
=2x(a+3b)+7y(a+3b)
=(2x+7y)(a+3b)
⒒ xy＋x－y－1
=(x-1)(y+1)
⒓ ax²＋bx² －ay²－by²
=a(x²-y²)+b(x²-y²)
=(a+b)(x+y)(x-y)
⒔ x³－2x²y－4xy²＋8y³
=x²(x-2y)-4y²(x-2y)
=(x²-4y²)(x-2y)
=(x+2y)(x-2y)²
⒕ 3m－3y－ma＋ay
=3(m-y)-a(m-y)
=(3-a)(m-y)
⒖ 4x³＋4x²y－9xy²－9y³
=4x²(x+y)-9y²(x+y)
=(4x²-9y²)(x+y)
=(2x-3y)(2x+3y)(x+y)
⒗ x³y－3x²－2x²y²＋6xy
=x(x²y-3x-2xy²+6y)
=x[x(xy-3)-2y(xy-3)]
=x(x-2y)(xy-3)

如仍有疑惑，欢迎追问。
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