a² -b² -c² +2bc因式分解:x² +4xy +4y²ab-a-b+14x³y+4x²y²+xy³
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a² -b² -c² +2bc因式分解:x² +4xy +4y²ab-a-b+14x³y+4x²y²+xy³
a² -b² -c² +2bc
因式分解:
x² +4xy +4y²
ab-a-b+1
4x³y+4x²y²+xy³
a² -b² -c² +2bc因式分解:x² +4xy +4y²ab-a-b+14x³y+4x²y²+xy³
原式=a²-(b²+c²-2bc)(提负号)
=a²-(b-c)²(完全平方公式)
=(a+b-c)(a-b+c)平方差公式)
a² -b² -c² +2bc
=a² -(b² +c² -2bc)
=a² -(b-c)²
=(a+b-c)(a-b+c)
x² +4xy +4y²
=(x+2y)²
ab-a-b+1
=(a-1)(b-1)
4x³y+4x²y²+xy³
=xy(4x² +4xy +y²)
=xy(2x+y)²
a^2-( b^2 -2bc + c^2 )= a^2-(b-c)^2
a² -b² -c² +2bc=a²-(b²+c²-2bc)=a²-(b-c)²=(a+b-c)(a-b+c)
a² -b² -c² +2bc=a²-(b²+c²-2bc)=a²-(b-c)²=(a+b-c)(a-b+c)
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a² -b² -c² +2bc=a²-(b²+c²-2bc)=a²-(b-c)²=(a+b-c)(a-b+c)
a² -b² -c² +2bc=a²-(b²+c²-2bc)=a²-(b-c)²=(a+b-c)(a-b+c)
x² +4xy +4y²=(x+2y)²
ab-a-b+1=(ab-a)-(b-1)=a(b-1)-(b-1)=(a-1)(b-1)
4x³y+4x²y²+xy³=xy(4x²+4xy+y²)=xy(2x+y)²
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