救命,全是因式分解.1.(x-3)^2+8(x-3)+162.3m^2-6mn+3n^23.x^4-164.2x^4-16x^2+325.x^3-86.3a^3+247.a^2-b^2+2bc-c^28.(a+b)^2+6(a+b)+99.16-24(x-y)+9(x-y)^210.a^2-2a(b+c)+(b+c)^211.4x^2-4x(y-1)+(y-1)^212.-a+2a^2-a^313.3ax^2-3ay^214.16a^2b-16a^3-4ab^21

Question

救命,全是因式分解.
1.(x-3)^2+8(x-3)+16
2.3m^2-6mn+3n^2
3.x^4-16
4.2x^4-16x^2+32
5.x^3-8
6.3a^3+24
7.a^2-b^2+2bc-c^2
8.(a+b)^2+6(a+b)+9
9.16-24(x-y)+9(x-y)^2
10.a^2-2a(b+c)+(b+c)^2
11.4x^2-4x(y-1)+(y-1)^2
12.-a+2a^2-a^3
13.3ax^2-3ay^2
14.16a^2b-16a^3-4ab^2
15.x^2(y^2-1)+(1-y^2)

Answer 1

1.=(x-3+4)^2=(x+1)^2
2.=3(m^2-2mn+n^2)=3(m-n)^2
3.=(x^2+4)(x^2-4)=(x^2+4)(x+2)(x-2)
4.=2(x^4-8x^2+16)=2(x^2-4)^2=2(x+2)^2(x-2)^2
5.=(X-2)(X^2+2X+4)
6=3(X^3+8)=3(x+2)(X^2-2x+4)
7=a^2-(b^2-2bc+c^2)=a^2-(b-c)^2=(a+b-c)(a-b+c)
8=(a+B+C)^3
9=(3(x-y)-4)^2
10=(a-b-c)^2
11=(2x-2(y-1))^2
12=a^2-a-a^3+a^2=a(a-1)-a^2(a-1)=(a-1)(a-a^2)=-a(a-1)^2
13=3a(x+y)(x-y)
14=-4a(4a^2-4ab+b^2)=-4a(2a-b)^2
15=(y^2-1)(x^2-1)=(y+1)(y-1)(X+1)(x-1)