Question

32x³y四次方-2x³ ma四次方-16mb四次方 -8a(a+1)²+2a³ -ax四次方+16a

五个题16mx(a-b)²-9mx(a+b)²

Answer 1

2x³y四次方-2x³
=2x³
(y⁴-1)
=2x³
(y²+1)(y²-1)
=2x³
(y²+1)(y+1)(y-1)
ma四次方-16mb四次方
=m[a⁴-(4b²)²]
=m(a²+4b²)(a²-4b²)
=m(a²+4b²)(a+2b)(a-2b)
-8a(a+1)²+2a³
=2a[a²-4(a+1)]
=2a(a²-4a-4)
如果学了
根号
是话a²-4a-4还可以分解
-ax四次方+16a
=-a(x⁴-16)
=-a(x²+4)(x²-4)
=-a(x²+4)(x+2)(x-2)
16mx(a-b)²-9mx(a+b)²
=m{4(a-b)]²-[3(a+b)]²}
=m[4(a-b)+3(a+b)][4(a-b)-3(a+b)]
=m(4a-4b+3a+3b)(4a-4b-3a-3b)
=m(7a-b)(a-7b)