因式分解x的四次方-y-4 2
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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
=2XY-(x的四次方+y的四次方)=2XY-(x的二次方+y的二次方)的二次方=2XY-(x的二次方-y的二次方)的二次方这是我大概算的,要是不对,那对不起了,我的算式到此为止,后面就我就不知道了.
16x的16次方-y的四次方z的四次方=(4x^8-y^2z^2)(4x^8+y^2z^2)=(2x^4-yz)(2x^4+yz)(4x^8+2y^2z^2)
7x^4-11x²y²-6y^4=(x²-2y²)(7x²+3y²)=(x-√2y)(x+√2y)(7x²+3y²)②7
x的四次方减y的四次方=(x^2+y^2)(x^2-y^2)=(x^2+y^2)(x+y)(x-y)
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原式=x^4+4x²y²+4y^4-x²y²=(x²+2y²)²-(xy)²=(x²+xy+2y²)
原式=(x的四次方+y的四次方+2x²y²)(x的四次方+y的四次方-2x²y²)=(x²+y²)²(x²-y²
答:x的四次方-5x²y²-36的四次方=(x²)²-5x²y²-36(y²)²=(x²-9y²)(
x^4+4=(x^2)^2+2^2+4x^2-4x^2=(x^2+2)^2-4x^2=(x^2+2)^2-(2x)^2=(x^2+2x+2)(x^2+2-2x)
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)
解x^4++2x²y²+y^4-4x²y²=(x²+y²)²-(2xy)²=[(x²+y²)-2xy
方法一:x^4+y^4+(x+y)^4=(x^4+2x^2y^2+y^4)-2x^2y^2+(x^2+2xy+y^2)^2=[(x^2+y^2)^2-(xy)^2]+[(x^2+y^2+2xy)^2-
x^4-13x^2y^2+36y^4=(x^2-4y^2)(x^2-9y^2)=(x+2y)(x-2y)(x+3y)(x-3y)
x的四次方-7x²y²-18y的四次方=(x^2-9y^2)(x^2+2y^2)=(x-3y)(x+3y)(x^2+2y^2)
解2(x-1)²-x+1=2(x-1)²-(x-1)=(x-1)[(2(x-1)-1]=(x-1)(2x-3)x的4次方-y的4次方=(x²)²-(y²
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
2的4次方-x的4次方=(2²+x²)(2²-x²)=(4+x²)(2+x)(2-x)很高兴为您解答,【学习宝典】团队为您答题.请点击下面的【选为满意
=2(y^2-16)=2(y+4)(y-4)
x^4+4=(x^2)^2+2^2+4x^2-4x^2=(x^2+2)^2-4x^2=(x^2+2)^2-(2x)^2=(x^2+2x+2)(x^2+2-2x)