(2x+3y)(4x+5y)(2x-3y)(5y-4x) 如何分组

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(2x+3y)(4x+5y)(2x-3y)(5y-4x) 如何分组
(2x+3y)(4x+5y)(2x-3y)(5y-4x) 如何分组

(2x+3y)(4x+5y)(2x-3y)(5y-4x) 如何分组
(2x+3y)(4x+5y)(2x-3y)(5y-4x)
=[(2x+3y)(2x-3y)][(4x+5y)(5y-4x)]
=[(2x)^2-(3y)^2][(5y)^2-(4x)^2]
在此分组,主要是训练你能否熟练运用平方差公式

4x - 5y = 5 ① 2x + 3y = -25 ②方法1：这是推荐方法① - 2 X ② => (- 5 - 6) y = 5 - 2 X (-25) = 55 => y = - 5

分组就是本题如何用结合律，先进行谁与谁的乘积，本题考虑到平方差公式的特点，可以①③组结合；②④组结合

因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y) 5/4(x+y)(-x-y)^3*[-4/3(x-y)]*[-3/5(y-x)^2] 5x^3y(x-y)^3-10x^4y^3(y-x)^2因式分解 5x^3y(x-y)^3-10x^4y^3(y-x)^2 (2x-y)(3x-4y)-2(x-y)(2x-5y)简便运算 5X^3Y(X-Y)-10X^4Y^3(Y-X)^2因式分解 3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 4(x-y)-3(x-y)=9 5(x-y)+2(x-y)=11 3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27 （x-y）^3×（y-x）^4+（x-y）^2×（y-x）^5 计算(x^8-x^7y+x^5y^3-x^4y^4+x^3y^5-x^y^7+y^8)(x^2+xy+y^2) 先化简再求值(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y) x=4 y=5 化简:5(x-y)+2(x+y)-3(x-y) (x-y) (x-2y)+(x+2y) (x-3y)-2(x-3y) (x-4y)= 已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y) 3(x-y)-2(x+y)-5(x-y)+4(x+y)+3(x-y) 化简合并同类项 (2x-3y)-(5x-y) (2X-3y)-(5x-y)