9x四次方-36y平方因式分解
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(x+y)四次方-(x-y)的四次方=[(x+y)²+(x-y)²][(x+y)²-(x-y)²]=(x²+2xy+y²+x²-2
X^4-16Y^4=(X^2+4Y^2)(X^2-4Y^2)=(X^2+4Y^2)(X+2Y)(X-2Y)X^2-2XY+Y^2-2X+2Y+1=(X-Y)^2-2(X-y)+1=(X-Y-1)^2
7x^4-11x²y²-6y^4=(x²-2y²)(7x²+3y²)=(x-√2y)(x+√2y)(7x²+3y²)②7
原式=(x²-y²)(x²-4y²)=(x+y)(x-y)(x+2y)(x-2y)
2x^2y^4-8x^4y^6=2x^2y^4(1-4x^2y^2)=2x^2y^4[1^2-(2xy)^2]=2x^2y^4(1+2xy)(1-2xy)
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原式=x^4+4x²y²+4y^4-x²y²=(x²+2y²)²-(xy)²=(x²+xy+2y²)
-4x的四次方y+36x的平方y=-4x平方y(x平方-9)=-4x平方y(x+3)(x-3)
首先,提取公因式:原式=x²(x²-9),接着,不难发现,括号里可以利用平方差公式继续分解,原式=x²(x+3)(x-3)PS:我想在这里纠正一下提问者的错误想法,因式分
原式=x^4+4x²y²+4y^4-x²y²=(x²+2y²)²-(xy)²=(x²+xy+2y²)
x四次方y四次方-8x平方y平方+16=(x²y²-4)²=(xy+2)²(xy-2)²
x^4+y^4=x^4+2x^2y^2+y^4-2x^2y^2=(x^2+y^2)^2-2x^2y^2=(x^2+y^2+√2*xy)(x^2+y^2-√2*xy)
1.x^4-16=(x^2+4)(x^2-4)=(x^2+4)(x+2)(x-2)2.x^2=(x+3)(x-3)3.16x^2-4y^2=4(4x^2-y^2)=4(2x+y)(2x-y)4.x^4
=(3x^2+4y^2)^2-9x^2y^2=(3x^2-3xy+4y^2)(3x^2+3xy+4y^2)
令a=2x-y,b=2y-x,a+b=(2x-y)+(2y-x)=x+y(2x-y)四次方+(x+y)四次方+(2y-x)四次方=a四次方+(a+b)四次方+b四次方=(a+b)四次方+(a四次方+2
x平方-x四次方+12=-(x^4-x²-12)=-(x²-4)(x²+3)=-(x+2)(x-2)(x²+3)
x四次方-5x²y²-36y=(x²-9y²)(x²+4y²)=(x+3y)(x-3y))(x²+4y²)
x^4-x^2+12x-36=x^4-(x^2-12x+36)=x^4-(x-6)^2=(x^2-(x-6))(x^2+(x-6))=(x^2-x+6)(x^2+x-6)以上运用:1.去括号括号内式子
原式=(4x^4-8x²y²+4y^4)-x²y²=(2x²-2y²)²-x²y²=(2x²+xy-