分解因式:(1)-3xy-9y^2-1/4x^2 (2)14a^2b-49a^3b-ab (3)a^4-2a^2b^2+b^4 (4)(x+y)^2+4(x-y)^2-4(x^2y^会几个打几个,(4)(x+y)^2+4(x-y)^2-4(x^2y^2)
分解因式:(1)-3xy-9y^2-1/4x^2 (2)14a^2b-49a^3b-ab (3)a^4-2a^2b^2+b^4 (4)(x+y)^2+4(x-y)^2-4(x^2y^
会几个打几个,
(4)(x+y)^2+4(x-y)^2-4(x^2y^2)
1.-3xy-9y^2-1/4x^2
=-(1/4x^2+3xy+9y^2)
=-(x/2+3y)^2
2.14a^2b-49a^3b-ab
=ab(14a-49a^2-1)
=-ab(49a^2-14a+1)
=-ab(7a-1)^2
3.a^4-2a^2b^2+b^4
=(a^2-b^2)^2
=(a+b)^2(a-b)^2
4.(x+y)^2+4(x-y)^2-4(x^2-y^2)
=(x+y-2(x-y))^2
=(-x+3y)^2
(1)-3xy-9y^2-1/4x^2=-(3y+1/2x)^2
(2)14a^2b-49a^3b-ab=-ab(49a^2-14a+1)=-ab(7a-1)^2
3)a^4-2a^2b^2+b^4=(a+b)^2(a-b)^2
(4)(x+y)^2+4(x-y)^2-4(x^2y^2)=
(1)-3xy-9y^2-1/4x^2 =-4(12xy+36y^2+x^2)=-4(x+6y)^2(2)14a^2b-49a^3b-ab =-ab(-14a+49a^2+1)=-ab(7a-1)^2(3)a^4-2a^2b^2+b^4=(a^2-b^2)^2=[(a+b)(a-b)]^2=(a+b)^2(a-b)^2(4)(x+y)^2+4(x-y)^2-4(x^2-y^2)=(x+y)^2...
(1)-3xy-9y^2-1/4x^2
=-(1/4x²+3xy+9y²)
=-(x/2+3y)²
2)14a^2b-49a^3b-ab
=-ab(49a²-14ab+1)
=-ab(7a-1)²
3)a^4-2a^2b^2+b^4
=(a²-b²)²
=(a+b)²(a-b)²
(4)(x+y)^2+4(x-y)^2-4(x^2y^
=