求因式分解
y(y-2)-(m-1)(m+1)x²-x-9y²-3y-6y²+11y+108x六次方-7x³-112x²=11xy-...
y(y-2)-(m-1)(m+1) x²-x-9y²-3y -6y²+11y+10 8x六次方-7x³-1 12x²=11xy-15y²
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y(y-2)-(m-1)(m+1)
y^2-2y-m^2+1
(y-1)^2-m^2
(y-1-m)(y-1+m)
x²-x-9y²-3y
x^2-9y^2+(x+3y)
(x-3y)(x+3y)+(x+3y)
(x-3y+1)(x+3y)
-6y²+11y+10
(2y-5)(-3y-2)
8x六次方-7x³-1
=8x^6-8x^3+x^3-1
=8x^3(x^3-1)+x^3-1
=8(x^3+1)(x^3-1)
=8(x+1)(x^2-x+1)(x-1)(x^2+x+1)
12x²=11xy-15y²
12x^2-11xy-15y^2
(3x-5y)(4x+3y
y^2-2y-m^2+1
(y-1)^2-m^2
(y-1-m)(y-1+m)
x²-x-9y²-3y
x^2-9y^2+(x+3y)
(x-3y)(x+3y)+(x+3y)
(x-3y+1)(x+3y)
-6y²+11y+10
(2y-5)(-3y-2)
8x六次方-7x³-1
=8x^6-8x^3+x^3-1
=8x^3(x^3-1)+x^3-1
=8(x^3+1)(x^3-1)
=8(x+1)(x^2-x+1)(x-1)(x^2+x+1)
12x²=11xy-15y²
12x^2-11xy-15y^2
(3x-5y)(4x+3y
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解:
1)y(y-2)-(m-1)(m+1)=y^2-2y+1-m^2
=(y-1)^2-m^2
=(y-1+m)(y-1-m)
2)x²-x-9y²-3y=(x²-9y²)-(x+3y)
=(x+3y)(x-3y)-(x+3y)
=(x+3y)(x-3y-1)
3)-6y²+11y+10=-(6y²-11y-10)=-(2y-5)(3y+2)
4)8x六次方-7x³-1=(8x^3+1)(x^3-1)
=(2x+1)(4x^2-2x+1)(x-1)(x^2+x+1)
5)12x²=11xy-15y²————这是方程,不是因式分解!!
1)y(y-2)-(m-1)(m+1)=y^2-2y+1-m^2
=(y-1)^2-m^2
=(y-1+m)(y-1-m)
2)x²-x-9y²-3y=(x²-9y²)-(x+3y)
=(x+3y)(x-3y)-(x+3y)
=(x+3y)(x-3y-1)
3)-6y²+11y+10=-(6y²-11y-10)=-(2y-5)(3y+2)
4)8x六次方-7x³-1=(8x^3+1)(x^3-1)
=(2x+1)(4x^2-2x+1)(x-1)(x^2+x+1)
5)12x²=11xy-15y²————这是方程,不是因式分解!!
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y(y-2)-(m-1)(m+1)
=y^2-2y-(m^2-1)
=y^2-2y-m^2+1
=y^2-2y+1-m^2
=(y-1)^2-m^2
=(y-1-m)(y-1+m)
x²-x-9y²-3y
=x²-9y²-x-3y
=(x+3y)(x-3y)-(x+3y)
=(x+3y)(x-3y-1)
-6y²+11y+10
=-(6y²-11y-10)
=-(2y-5)(3y+2)
8x六次方-7x³-1
=(8x³+1)(x³-1)
=(2x+1)(4x^2-2x+1)(x-1)(x^2+x+1)
12x²+11xy-15y²
=(4x+3y)(3x-5y)
=y^2-2y-(m^2-1)
=y^2-2y-m^2+1
=y^2-2y+1-m^2
=(y-1)^2-m^2
=(y-1-m)(y-1+m)
x²-x-9y²-3y
=x²-9y²-x-3y
=(x+3y)(x-3y)-(x+3y)
=(x+3y)(x-3y-1)
-6y²+11y+10
=-(6y²-11y-10)
=-(2y-5)(3y+2)
8x六次方-7x³-1
=(8x³+1)(x³-1)
=(2x+1)(4x^2-2x+1)(x-1)(x^2+x+1)
12x²+11xy-15y²
=(4x+3y)(3x-5y)
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y(y-2)-(m-1)(m+1)
=(y-1)^2-m^2
=(y+m-1)(y-m-1)
x²-x-9y²-3y
=(x+3y)(x-3y)-(x+3y)
=(x+3y)(x-3y-1)
-6y²+11y+10
=(-2y+5)(3y+2)
8x六次方-7x³-1
=(x³-1)(8x³+1)
=(x-1)(x²+x+1)(2x+1)(4x²-2x+1)
12x²=11xy-15y²
中间 = 怎么回事?如果是 +
=(4x+3y)(3x-5y)
=(y-1)^2-m^2
=(y+m-1)(y-m-1)
x²-x-9y²-3y
=(x+3y)(x-3y)-(x+3y)
=(x+3y)(x-3y-1)
-6y²+11y+10
=(-2y+5)(3y+2)
8x六次方-7x³-1
=(x³-1)(8x³+1)
=(x-1)(x²+x+1)(2x+1)(4x²-2x+1)
12x²=11xy-15y²
中间 = 怎么回事?如果是 +
=(4x+3y)(3x-5y)
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