分解多项式2 3 x-xy 3xy -3xy 2 2 2 2-36x +49/64y 0.2a -9/20b2 4 2 4 2 2 25m a -5m b 16x y z -92 2 3 281(a+b) -4(a-b) (2x+3y) –(3x-2y)2 29(m+n) –(m-n)2 2(x-y) (x+y) ̄ ̄ -  ̄ ̄ ̄4 4
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![分解多项式2 3 x-xy 3xy -3xy 2 2 2 2-36x +49/64y 0.2a -9/20b2 4 2 4 2 2 25m a -5m b 16x y z -92 2 3 281(a+b) -4(a-b) (2x+3y) –(3x-2y)2 29(m+n) –(m-n)2 2(x-y) (x+y) ̄ ̄ -  ̄ ̄ ̄4 4](/uploads/image/z/1660903-7-3.jpg?t=%E5%88%86%E8%A7%A3%E5%A4%9A%E9%A1%B9%E5%BC%8F2+3+x-xy+3xy+-3xy+2+2+2+2-36x+%2B49%2F64y+0.2a+-9%2F20b2+4+2+4+2+2+25m+a+-5m+b+16x+y+z+-92+2+3+281%28a%2Bb%29+-4%28a-b%29+%282x%2B3y%29+%E2%80%93%283x-2y%292+29%28m%2Bn%29+%E2%80%93%28m-n%292+2%28x-y%29+%28x%2By%29%EF%BF%A3%EF%BF%A3+-+%EF%BF%A3%EF%BF%A3%EF%BF%A34+4)
分解多项式2 3 x-xy 3xy -3xy 2 2 2 2-36x +49/64y 0.2a -9/20b2 4 2 4 2 2 25m a -5m b 16x y z -92 2 3 281(a+b) -4(a-b) (2x+3y) –(3x-2y)2 29(m+n) –(m-n)2 2(x-y) (x+y) ̄ ̄ -  ̄ ̄ ̄4 4
分解多项式
2 3
x-xy 3xy -3xy
2 2 2 2
-36x +49/64y 0.2a -9/20b
2 4 2 4 2 2 2
5m a -5m b 16x y z -9
2 2 3 2
81(a+b) -4(a-b) (2x+3y) –(3x-2y)
2 2
9(m+n) –(m-n)
2 2
(x-y) (x+y)
 ̄ ̄ -  ̄ ̄ ̄
4 4
分解多项式2 3 x-xy 3xy -3xy 2 2 2 2-36x +49/64y 0.2a -9/20b2 4 2 4 2 2 25m a -5m b 16x y z -92 2 3 281(a+b) -4(a-b) (2x+3y) –(3x-2y)2 29(m+n) –(m-n)2 2(x-y) (x+y) ̄ ̄ -  ̄ ̄ ̄4 4
x-xy2=x(1-y2)=x(1+y)(1-y)
3xy3-3xy=3xy(y2-1)=3xy(y+1)(y-1)
-36x2+49/64y2=(7/8y)2-(6x)2=(7/8y+6x)(7/8y-6x)
0.2a2-9/20b2=1/5(a2-9/4b2)=1/5(a+3/2b)(a-3/2b)
5m2a4-5m2b4=5m2(a4-b4)= 5m2(a2+b2)(a2-b2)= 5m2(a2+b2)(a+b)(a-b)
16x2y2z2-9=(4xyz)2-9=(4xyz+3)(4xyz-3)
81(a+b)2-4(a-b)2=[9(a+b)+2(a-b)][9(a+b)-2(a-b)]=(9a+9b+2a-2b)(9a+9b-2a+2b)=(11a+7b)(7a+11b)
(2x+3y)2-(3x-2y)2=(2x+3y+3x-2y)(2x+3y-3x+2y)=(5x+y)(5y-x)
9(m+n)2-(m-n)2=[3(m+n)+(m-n)][3(m+n)-(m-n)]=(3m+3n+m-n)(3m+3n-m+n)=(4m+2n)(2m+4n)=4(2m+n)(m+2n)
(x-y)2/4-(x+y)2/4=[(x-y)/2+(x+y)/2][(x-y)/2-(x+y)/2]=-xy
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