因式分解,要睡觉啦
问题描述:
因式分解,要睡觉啦
①3ax²+6axy+3ay² ②a²(a-3)-a+3 ③(x²+y²)²-4x²y²
答
①3ax²+6axy+3ay² =3a(x+y)^2
②a²(a-3)-a+3 =(a-3)(a+1)(a-1)
③(x²+y²)²-4x²y²=(x+y)^2(x-y)^2求过程!①3ax²+6axy+3ay² =3a(x^2+2xy+y^2)=3a(x+y)^2
②a²(a-3)-a+3 =a²(a-3)-(a-3)=(a-3)(a^2-1)=(a-3)(a+1)(a-1)
③(x²+y²)²-4x²y²=(x²+y²)²-(2xy)^2=(x²+y²+2xy)(x²+y²-2xy)=(x+y)^2(x-y)^2