(1)计算:
(2)先化简,再求值:[(x+2y)(x-2y)-(x+4y)2]÷4y,其中x=5,y=2
(3)分解因式:①25m2-10mn+n2??????????????②12a2b(x-y)-4ab(y-x)
网友回答
解:(1)原式=-1+(-8)×-3×
=-1-1-1=-3;
(2)[(x+2y)(x-2y)-(x+4y)2]÷4y
=(x2-4y2-x2-8xy-16y2)÷4y
=(-20y2-8xy)÷4y
=-5y-2x,
当x=5,y=2时,原式=-5×2-2×5=-20;
(3)①25m2-10mn+n2=(5m-n)2;
②12a2b(x-y)-4ab(y-x)=4ab(x-y)(3a+1).
解析分析:(1)利用乘方的运算,立方根的定义、平方根的定义化简此题,即可求得