因式分解啊啊啊!要过程1. x²y²+1-x²-y²+4xy2. 2.x²-y²+2x-4y-33. x的4次方+x²-2ax-a+14. (x+y)的4次方+x的4次方+y的4次方5. (a+b+c) ³ -(a³+b³+c&su
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因式分解啊啊啊!要过程1. x²y²+1-x²-y²+4xy2. 2.x²-y²+2x-4y-33. x的4次方+x²-2ax-a+14. (x+y)的4次方+x的4次方+y的4次方5. (a+b+c) ³ -(a³+b³+c&su
因式分解啊啊啊!要过程
1. x²y²+1-x²-y²+4xy
2. 2.x²-y²+2x-4y-3
3. x的4次方+x²-2ax-a+1
4. (x+y)的4次方+x的4次方+y的4次方
5. (a+b+c) ³ -(a³+b³+c³)
因式分解啊啊啊!要过程1. x²y²+1-x²-y²+4xy2. 2.x²-y²+2x-4y-33. x的4次方+x²-2ax-a+14. (x+y)的4次方+x的4次方+y的4次方5. (a+b+c) ³ -(a³+b³+c&su
1.x²y²+1-x²-y²+4xy
= x²y² + 2xy + 1 - (x² - 2xy + y²)
= (xy + 1)² - (x - y)²
= (xy + 1 + x - y)(xy + 1 - x + y)
= (xy + x - y + 1)(xy - x + y + 1)
2.x²-y²+2x-4y-3
= x² + 2x + 1 - (y² + 4y + 4)
= (x + 1)² - (y + 2)²
= (x + 1 + y + 2)(x + 1 - y - 2)
= (x + y + 3)(x - y - 1)
3.x⁴+ x² - 2ax - a² + 1
= (x⁴ + 2x² + 1) - (x² + 2ax + a²)
= (x² + 1)² - (x + a)²
= (x² + x + a + 1)(x² - x - a + 1)
4.(x+y)⁴+ x⁴+ y⁴
= (x + y)⁴+ (x + y)(x)
= (x + y)⁴+ x⁴+ y⁴+ 2x²y² - 2x²y²
= (x² + y²)²
5.(a+b+c)³ -(a³+b³+c³)
=(a + b + c)³ - a³ - (b³ + c³)
=(b + c)[(a+b+c)² + a(a+b+c) + a²] - (b + c)(b² - bc + c²)
= (b + c)[(a+b+c)² + a(a+b+c) + a² - b² + bc - c²]
= (b + c)[3a² + 3ab + 3ac + 3bc]
= 3(b + c)[a(a + b) + c(a + b)]
= 3(b + c)(a + c)(a + b)
= 3(a + b)(a + c)(b + c)
未完.