16(x-y)(x-y)-25(x+y)(x+y)=?x的4次方+4乘y的4次方=?因式分解,
题目
16(x-y)(x-y)-25(x+y)(x+y)=?x的4次方+4乘y的4次方=?因式分解,
答案
16(x-y)(x-y)-25(x+y)(x+y)
=[4(x-y)]²-[5(x+y)]²
=(4x-4y+5x+5y)(4x-4y-5x-5y)
=(9x+y)(﹣x-9y)
=﹣(9x+y)(x+9y)
x的4次方+4乘y的4次方
=x^4+4x²y²+4y^4-4x²y²
=(x²+2y²)²-(2xy)²
=(x²+2xy+2y²)(x²-2xy+2y²)
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