分解因式：-4x^3+16x-26xm^4-16n^456x^3yz+14x^2y^2z-21xy^2z^2(1/2)a^2(x-2a)^2-(1/4)a(2a-x)^3a^2(x-y)+b^2(y-x)13.2*13.2-3.4*3.4*4第一题就是这样

Question

分解因式：-4x^3+16x-26x
m^4-16n^4
56x^3yz+14x^2y^2z-21xy^2z^2
(1/2)a^2(x-2a)^2-(1/4)a(2a-x)^3
a^2(x-y)+b^2(y-x)
13.2*13.2-3.4*3.4*4
第一题就是这样

Answer 1

1
-4x^3+16x-26x
=-4x^3-10x
=-2x(2x^2+5)
2
m^4-16n^4
=(m^2 + 4n^2)(m^2 - 4n^2)
=(m^2 + 4n^2)(m - 2n)(m + 2n)
3
(1/2)a^2(x-2a)^2-(1/4)a(2a-x)^3
=(1/2)a^2(2a-x)^2-(1/4)a(2a-x)^3
=(1/4)a(2a-x)^2[2a-(2a-x)]
=(1/4)ax[(2a-x)^2]
4
a^2(x-y)+b^2(y-x)
=a^2(x-y)-b^2(x-y)
=(a-b)(a+b)(x-y)
5
13.2*13.2-3.4*3.4*4
=(3.4×3)×(3.4×3) -3.4×3.4×4
=(3.4×3.4)(9-4)
=5(3.4×3.4)
=57.8