Question

分解因式1.a的4次方-2a平方+1 2.-a+2a平方+a的三次方 3.a的4次方b的4次方-2a平方b平方+1

Answer 1

1.

a^4-2a²+1

=(a²-1)²

=(a+1)²(a-1)²

2.

-a+2a²+a³

=a(a²+2a-1)

3.

a^4b^4-2a²b²+1

=(a²b²-1)²

=(ab+1)²(ab-1)²

4.

x²-5x-6

=(x+1)(x-6)

5.

a^4-8a²+16

=(a²-4)²

=(a+2)²(a-2)²

6.

x²+6xy+5y²

=(x+y)(x+5y)