完全平方公式(过程)(1)(y+2)(y-2)-(y-1)(y+5) (2)(2x+y-z+10)(2x-y+z+100
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完全平方公式(过程)
(1)(y+2)(y-2)-(y-1)(y+5) (2)(2x+y-z+10)(2x-y+z+100
(3)(a+b)²(a-b)²-(a²+b²)(a-b)
(1)(y+2)(y-2)-(y-1)(y+5) (2)(2x+y-z+10)(2x-y+z+100
(3)(a+b)²(a-b)²-(a²+b²)(a-b)
(1)(y+2)(y-2)-(y-1)(y+5)
=y²-4-y²-4y+5
=-4y+1
(2)(2x+y-z+10)(2x-y+z+100)
=(2x+100)²-(y-z)²
=4x²+400x+10000-y²+2yz-z²
(3)(a+b)²(a-b)²-(a²+b²)(a-b)
=[(a+b)(a-b)]²-a³-ab²+a²b+b³
=(a²-b²)²-a³-ab²+a²b+b³
=a^4-2a²b²+b^4-a³-ab²+a²b+b³
=y²-4-y²-4y+5
=-4y+1
(2)(2x+y-z+10)(2x-y+z+100)
=(2x+100)²-(y-z)²
=4x²+400x+10000-y²+2yz-z²
(3)(a+b)²(a-b)²-(a²+b²)(a-b)
=[(a+b)(a-b)]²-a³-ab²+a²b+b³
=(a²-b²)²-a³-ab²+a²b+b³
=a^4-2a²b²+b^4-a³-ab²+a²b+b³
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