因式分解 1.(y^2-1)(y+3)(y+5)-9 2.a^3+3a+50 3.(x^2+x+1)(x^2+x+2)-124.18x^2y^2+21y+5x^2-(18y^2+21x^2y+5)5.x^3+6x^2+11x+6
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因式分解 1.(y^2-1)(y+3)(y+5)-9 2.a^3+3a+50 3.(x^2+x+1)(x^2+x+2)-124.18x^2y^2+21y+5x^2-(18y^2+21x^2y+5)5.x^3+6x^2+11x+6
因式分解 1.(y^2-1)(y+3)(y+5)-9 2.a^3+3a+50 3.(x^2+x+1)(x^2+x+2)-12
4.18x^2y^2+21y+5x^2-(18y^2+21x^2y+5)
5.x^3+6x^2+11x+6
因式分解 1.(y^2-1)(y+3)(y+5)-9 2.a^3+3a+50 3.(x^2+x+1)(x^2+x+2)-124.18x^2y^2+21y+5x^2-(18y^2+21x^2y+5)5.x^3+6x^2+11x+6
1.
(y^2-1)(y+3)(y+5)-9
=(y-1)(y+1)(y+3)(y+5)-9
=(y-1)(y+5)(y+1)(y+3)-9
=(y^2+4y-5)(y^2+4y+3)-9
设y^2+4y=x,则
原式=(x-5)(x+3)-9=x^2-2x-15-9=x^2-2x-24=(x+4)(x-6)
则.
(y^2-1)(y+3)(y+5)-9
=(y^2+4y+4)(y^2+4y-6)
=(y+2)^2(y^2+4y-6)
2.题目有没有错?请再查一下,可追问
3.
(x^2+x+1)(x^2+x+2)-12
=(x²+x)²+3(x²+x)+2-12
=(x²+x)²+3(x²+x)-10
=(x²+x-2)(x²+x+5)
=(x-1)(x+2)(x²+x+5)
4.
5.(x^3+6x^2+11x+6)
=(x^3+3x^2)+(3x^2+11x+6)
=x^2(x+3)+(x+3)(3x+2)
=(x+3)(x^2+3x+2)
=(x+3)(x+2)(x+1)
(1)
(y²-1)(y+3)(y+5)-9
=(y-1)(y+1)(y+3)(y+5)-9
=(y²+4y+3)(y²+4y-5)-9
=(y²+4y)²-2(y²+4y)-15-9
=(y²+4y)²-2(y²+4y)-24
=(y²+4y+4)(...
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(1)
(y²-1)(y+3)(y+5)-9
=(y-1)(y+1)(y+3)(y+5)-9
=(y²+4y+3)(y²+4y-5)-9
=(y²+4y)²-2(y²+4y)-15-9
=(y²+4y)²-2(y²+4y)-24
=(y²+4y+4)(y²+4y-6)
=(y+2)²(y²+4y-6)
(2)
a³+3a²+50
=a³+5a²-2a²-10a+10a+50
=a²(a+5)-2a(a+5)+10(a+5)
=(a+5)(a²-2a+10)
(3)
(x²+x+1)(x²+x+2)-12
=(x²+x)²+3(x²+x)+2-12
=(x²+x)²+3(x²+x)-10
=(x²+x-2)(x²+x+5)
=(x-1)(x+2)(x²+x+5)
(4)
18x²y²+21y+5x²-(18y²+21x²y+5)
=18x²y²-18y²+21y-21x²y+5x²-5
=18y²(x²-1)-21y(x²-1)+5(x²-1)
=(18y²-21y+5)(x²-1)
=(x-1)(x+1)(6x-5)(3x-1)
(5)
x³+6x²+11x+6
=x³+x²+5x²+5x+6x+6
=x²(x+1)+5x(x+1)+6(x+1)
=(x+1)(x²+5x+6)
=(x+1)(x+2)(x+3)
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1.(y^2-1)(y+3)(y+5)-9=﹙y+1﹚﹙y-1﹚﹙y+3﹚﹙y+5﹚-9
=﹙y²+4y+3﹚﹙y²+4y-5﹚-9
=﹙y²+4y﹚²-2﹙y²+4y﹚-24
=﹙y²+4y+4﹚﹙y²+4y-6﹚
=﹙y+2﹚²﹙y²+4y-6﹚
2.a^3+3a+...
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1.(y^2-1)(y+3)(y+5)-9=﹙y+1﹚﹙y-1﹚﹙y+3﹚﹙y+5﹚-9
=﹙y²+4y+3﹚﹙y²+4y-5﹚-9
=﹙y²+4y﹚²-2﹙y²+4y﹚-24
=﹙y²+4y+4﹚﹙y²+4y-6﹚
=﹙y+2﹚²﹙y²+4y-6﹚
2.a^3+3a+50
=
3.(x^2+x+1)(x^2+x+2)-12=﹙x^2+x﹚²+3﹙x^2+x﹚-10=﹙x^2+x+5﹚﹙x^2+x-2﹚
4. 18x^2y^2+21y+5x^2-(18y^2+21x^2y+5)=18x^2y^2+21y+5x^2-18y^2-21x^2y-5
=18y²﹙x²-1﹚-21y﹙x²-1﹚+5﹙x²-1﹚
=﹙x²-1﹚﹙18y²-21y+5﹚
=﹙x+1﹚﹙x-1﹚﹙3y-1﹚﹙6y-5﹚.
5. x^3+6x^2+11x+6=x³+3x²+3x²+9x+2x+6=x²﹙x+3﹚+3x﹙x+3﹚+2﹙x+3﹚
=﹙x+3﹚﹙x²+3x+2﹚=﹙x+1﹚﹙x+2﹚﹙x+3﹚.
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