25(x+y)²-16(X-Y)² 因式分解(详细一点哦)
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25(x+y)²-16(X-Y)² 因式分解(详细一点哦)
25(x+y)²-16(X-Y)² 因式分解(详细一点哦)
25(x+y)²-16(X-Y)² 因式分解(详细一点哦)
25(x+y)²-16(X-Y)²
=5²(x+Y)²-4²(x-y)²
=(5x+5y)²-(4x-4y)²
=(5x+5y+4x-4y)(5x+5y-4x+4y)
=(9x-y)(x+9y)
原式=[5(x+y)]平方-[4(x-y)]平方
=(5x +5y)平方-(4x-4y)平方
=[(5x+5y)+(4x-4y)][(5x+5y)-(4x-4y)]
=(9x+y)(x+9y)
你好,智慧数学联盟团队为您解答!
25(X-Y)^2-16(X+Y)^2
=5
希望对您有帮助,谢谢
25(x+y)²-16(X-Y)²
=5²(x+Y)²-4²(x-y)²
=(5x+5y)²-(4x-4y)²
=(5x+5y+4x-4y)(5x+5y-4x+4y)
=(9x-y)(x+9y)