(1)原式=9x(x+y)-2y(x+y)
=9x²+9xy-2xy-2y²
=9x²+7xy-2y²
(2)原式=x²-(x²-4)
=x²-x²+4
=4
(3) 原式=(-2πr²h+3πrh²)*2/πrh
=-2πr²h*2/πrh+3πrh²*2/πrh
=-4r+6h (分子分母约分)
(4)原式=[a-(2b-3c)][a+(2b-3c)]
=a²-(2b-3c)²(平方差公式)
=a²-(4b²-12bc+9c²)(完全平方公式)
=a²-4b²+12bc-9c²
(5)原式=[x²-4y²-x+2y²+8xy+8y²]÷4y
=(x²-x+6y²+8xy)÷4y
题目是不是抄错了,中间可能是x²-2y²吧
(6)(a+b)²=a²+b²+2ab=7①
(a-b)²=a²+b²-2ab=3②
将①式②式等号两边相加得2a²+2b²=10,所以a²+b²=5
将①式②式等号两边相减得2ab-(-2ab)=4ab=4,所以ab=1