①:x-y=2,xy=3.求x²y-xy²=(?) ②:(3x-2)(-3x-2) ③:(x+3)(x-1)-(x-2)²④:(-2a²)²+(-2a)a的4的次方+(-3a的3次方)⑤:x的3次方-2x²y+xy²⑥:m的4次方-16⑦:已知a+b=3,ab=-1,求1:a²+b²的值;2:(a-b)²的值注:
问题描述:
①:x-y=2,xy=3.求x²y-xy²=(?) ②:(3x-2)(-3x-2) ③:(x+3)(x-1)-(x-2)²
④:(-2a²)²+(-2a)a的4的次方+(-3a的3次方)
⑤:x的3次方-2x²y+xy²
⑥:m的4次方-16
⑦:已知a+b=3,ab=-1,求1:a²+b²的值;2:(a-b)²的值
注:
答
①:x-y=2,xy=3.求x²y-xy²=(?)
x²y-xy²
=xy(x-y)
=3×2
=6
②:(3x-2)(-3x-2)=-9x²+4
③:(x+3)(x-1)-(x-2)²
=x²+2x-3-x²+4x-4
=6x-7
④:(-2a²)²+(-2a)a的4的次方+(-3a的3次方)
=4a的4的次方-2a的5次方-3a的3的次方
⑤:x的3次方-2x²y+xy²
=x(x²-2xy+y²)
=x(x-y)²
⑥:m的4次方-16
=(m²+4)(m²-4)
=(m²+4)(m+2)(m-2)
⑦:已知a+b=3,ab=-1,求1:a²+b²的值;2:(a-b)²的值
a²+b²=(a+b)²-2ab=3²+2=11
(a-b)²=a²+b²-2ab=11+2=13