Question

разложите на множители
$x^{4} -16 z^{4}; 81- k^{4};2 a^{2}-12a+18;10x-5 x^{2} -5;0,5 u^{2} +4uv+8v^{2}$

Answer 1

x⁴ - 16z⁴ =(x²-4z²)(x²+4z²)=(x-2z)(x+2z)(x²+4z²)

81-k⁴=(9-k²)(9+k²)=(3-k)(3+k)(9+k²)

2a²-12a+18=2(a²-6a+9)=2(a-3)²

10x-5x²-5=-5(x²-2x+1)= -5(x-1)²

0.5u²+4uv+8v²=0.5(u²+8uv+16v²)=0.5(u+4v)²