Question

直接写出因式分解的结果 x2y2-y2= 3a2-6a+3= 4a2+4a+1= (a2+a)平方-16a2

Answer 1

x2y2-y2
=y^2(x^2-1)
=y^2(x+1)(x-1)

3a2-6a+3
=3(a^2-2a+1)
=3(a-1)^2

4a2+4a+1
=4(a^2+a+1/4)
=4(a+1/2)^2

(a2+a)平方-16a2
=(a^2+a)^2-(4a)^2
=(a^2+a+4a)(a^2+a-4a)
=(a^2+5a)(a^2-3a)
=a(a+5)a(a-3)
=a^2(a+5)(a-3)

Answer 2

x2y2-y2
=y²(x-1)(y-1)
3a2-6a+3
= 3(a-1)²
4a2+4a+1=(2a+1)²

(a2+a)平方-16a2
=(a²+a+4a)(a²+a-4a)
=a²(a+5)(a-3)