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