x的4次方-x²;a(x²-y²)+b(y²-x²);-27x的4次方+18x³-3x²a的4次方-2a²b²+b的4次方;(a²-a)²-(a-1)²;x的4次方-1;

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 18:49:12

x的4次方-x²;a(x²-y²)+b(y²-x²);-27x的4次方+18x³-3x²a的4次方-2a²b²+b的4次方;(a²-a)²-(a-1)²;x的4次方-1;
x的4次方-x²;a(x²-y²)+b(y²-x²);-27x的4次方+18x³-3x²
a的4次方-2a²b²+b的4次方;(a²-a)²-(a-1)²;x的4次方-1;

x的4次方-x²;a(x²-y²)+b(y²-x²);-27x的4次方+18x³-3x²a的4次方-2a²b²+b的4次方;(a²-a)²-(a-1)²;x的4次方-1;
x的4次方-x²=x²(x²-1)=x²(x+1)(x-1)
a(x²-y²)+b(y²-x²)=a(x²-y²)-b(x²-y²)=(x²-y²)(a-b)=(x+y)(x-y)(a-b)
-27x的4次方+18x³-3x²=-3x²(9x²-6x+1)=-3x²(3x-1)²
a的4次方-2a²b²+b的4次方=(a²-b²)²=(a+b)²(a-b)²
(a²-a)²-(a-1)²=a²(a-1)²-(a-1)²=(a-1)²(a²-1)=(a-1)³(a+1)
x的4次方-1=(x²+1)(x²-1)=(x²+1)(x+1)(x-1)

a的4次方-2a²b²+b的4次方=(a²-b²)²=(a-b)²(a+b)²;
(a²-a)²-(a-1)²=(a²-a-a+1)(a²-a+a-1)=(a-1)²(a²-1)=(a-1)³(a+1);
x的4次方-1=(x²-1)(x²+1)=(x-1)(x+1)(x²+1)