初二几道因式分解1.x³-x(y-z)²2.a的4次方b的4次方-163.(a-b)²-(
1个回答

1.x³-x(y-z)²

=x[x²-(y-z)²]

=x(x+y-z)(x-y+z)

2.a⁴b⁴-16

=(a²b²)²-4²

={a²b²-4)(a²b²+4)

=(ab-2)(ab+2)(a²b²+4)

3.(a-b)²-(3a+2b)²

=[(a-b)+(3a+2b)][(a-b)-(3a+2b)]

=(4a+b)(-2a-3b)

=-(4a+b)(2a+3b)

4.x²-xⁿ

=x²(1-x的n-2次方)

5.(a-b)³

已经是最简了,是不是题目没打完,

或者是展开,但不是分解因式.

(a-b)³=a³-3a²b+3ab²-b³

6.x的5次方-16x

=x(x⁴-16)

=x(x²-4)(x²+4)

=x(x-2)(x+2)(x²+4)

7.16m⁴-25n²

=(4m²-5n)(4m²+5n)

8.101²-101

=101(101-1)

=101*100

=10100

9.535²-465²

=(535-465)(535+465)

=70*1000

=70000