1)
-8x^2-16x-8=-8(x²+2x+1)=-8(x+1)²
2)
A²x-36x³=x(a²-36x^2)=x(a-6x)(a+6x)
3)
4ab-28b+8a-56=4b(a-7)+8(a-7)=(a-7)(4b+8)
4)
a^4=256
a^4=4^4
5)
X³+6x²-x=6
X³+6x²-x-6=0
X²(x+6)-(x+6)=0
(x+6)(x²-1)=0
(x+6)(x-1)(x+1)=0
X+6=0 , x-1=0 , x+1=0
X1=-6 , x2=1 , x3=-1
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Answers & Comments
1)
-8x^2-16x-8=-8(x²+2x+1)=-8(x+1)²
2)
A²x-36x³=x(a²-36x^2)=x(a-6x)(a+6x)
3)
4ab-28b+8a-56=4b(a-7)+8(a-7)=(a-7)(4b+8)
4)
a^4=256
a^4=4^4
5)
X³+6x²-x=6
X³+6x²-x-6=0
X²(x+6)-(x+6)=0
(x+6)(x²-1)=0
(x+6)(x-1)(x+1)=0
X+6=0 , x-1=0 , x+1=0
X1=-6 , x2=1 , x3=-1