81(x+2y)^2-9(x-3y)^2 因式分解

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81(x+2y)^2-9(x-3y)^2 因式分解
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81(x+2y)^2-9(x-3y)^2 因式分解
81(x+2y)^2-9(x-3y)^2 因式分解

81(x+2y)^2-9(x-3y)^2 因式分解
81(x+2y)^2-9(x-3y)^2
=[9(x+2y)]^2-[3(x-3y)]^2————积的乘方
=[9(x+2y)+3(x-3y)][9(x+2y)-3(x-3y)]————平方差公式
=(9x+18y+3x-9y)(9x+18y-3x+9y)————去括号
=(12x+9y)(6x+27y)————合并同类项
=3(4x+3y)*3(2x+9y)————提公因式
=9(4x+3y)(2x+9y)————小学学的,不用我说了.

81(x+2y)^2-9(x-3y)^2
=[9(x+2y)]^2-[3(x-3y)]^2
=[9(x+2y)-3(x-3y)][9(x+2y)+3(x-3y)]
=(6x+27y)(12x+9y)
=9(2x+9y)(4x+3y).

81(x+2y)^2-9(x-3y)^2 因式分解
=[9(x+2y)+3(x-3y)][9(x+2y)-3(x-3y)]
=9*(4x-3y)(2x+9y)

81(x+2y)^2-9(x-3y)^2
=9[9(x+2y)^2-(x-3y)^2]
=9[(3x+6y)^2-(x-3y)^2]
=9(3x+6y+x-3y)(3x+6y-x+3y)
=9(4x+3y)(2x+9y)

81/8*(-x-y)^6*(x-y)^3*4/9(x+y)^4*(y-x)^2 x(x-y)2-(y-x)3 [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x 化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x 计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x 化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x 3(x+y)-2(x-y)=11 4(x+y)+3(x-y)=9 4(x-y)-3(x-y)=9 5(x-y)+2(x-y)=11 计算(x-y)^7÷(y-x)^6+9-x-y)^3÷(x+y)^2 x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 计算：x+2y/x-y+2x/y-x-3y/x-y 化简:(x-3y)(x+y)-(x-2y)(x+2y)-(x-y)平方 [(3x+y)(x-y)-(2x+3y)(x-y)]*(x-y) 化简：x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y) 化简y(x+y)+(x+y)(x-y)-x^2 x^3y^2+6x^2y+9x 2X(2X-3Y)-3Y(X+Y) (-2x y)^2-(3y-x)(-x-3y)