计算:(11x+y)(-11x+y)+(11x+y)的2次方
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计算:(11x+y)(-11x+y)+(11x+y)的2次方
计算:1.(11x+y)(-11x+y)+(11x+y)的2次方;2.(x-2y)(x+2y)-(x+2y)的2次方-(x-2y)(2y-x)
计算:1.(11x+y)(-11x+y)+(11x+y)的2次方;2.(x-2y)(x+2y)-(x+2y)的2次方-(x-2y)(2y-x)
:(11x+y)(-11x+y)+(11x+y)的2次方
=y^2-(11x)^2+(11x)^2+y^2+2*11xy
=2y^2+22xy
.(x-2y)(x+2y)-(x+2y)的2次方-(x-2y)(2y-x)
=x^2-4y^2-(x^2+4xy+4y^2)+(x-2y)(x-2y)
=x^2-4y^2-x^2-4xy-4y^2+x^2-4xy+4y^2
=x^2-4y^2-8xy
=y^2-(11x)^2+(11x)^2+y^2+2*11xy
=2y^2+22xy
.(x-2y)(x+2y)-(x+2y)的2次方-(x-2y)(2y-x)
=x^2-4y^2-(x^2+4xy+4y^2)+(x-2y)(x-2y)
=x^2-4y^2-x^2-4xy-4y^2+x^2-4xy+4y^2
=x^2-4y^2-8xy
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