Reformatting the intake :
Changes make to your input should not impact the solution: (1): "x3" was changed by "x^3".You are watching: Factor x^3 8
Step 1 :
Trying to variable as a difference of Cubes:1.1 Factoring: x38 theory : A difference of two perfect cubes, a3b3 can be factored into(ab)•(a2+ab+b2)Proof:(ab)•(a2+ab+b2)=a3+a2b+ab2ba2b2ab3 =a3+(a2bba2)+(ab2b2a)b3=a3+0+0+b3=a3+b3Check:8is the cube of 2Check: x3 is the cube that x1Factorization is :(x  2)•(x2 + 2x + 4)
Trying to variable by separating the center term1.2Factoring x2 + 2x + 4 The first term is, x2 its coefficient is 1.The middle term is, +2x that is coefficient is 2.The last term, "the constant", is +4Step1 : multiply the coefficient the the first term by the constant 1•4=4Step2 : find two factors of 4 whose sum equals the coefficient the the middle term, i m sorry is 2.
4  +  1  =  5  
2  +  2  =  4  
1  +  4  =  5  
1  +  4  =  5  
2  +  2  =  4  
4  +  1  =  5 
Observation : No 2 such factors can be discovered !! Conclusion : Trinomial have the right to not be factored
Final result :
(x  2) • (x2 + 2x + 4)
Why find out this
Terms and topics
Related links
abc
a
x
y
/
abs
( )
7
8
9
*
4
5
6

%
1
2
3
+
0
,
.
See more: Seduction 101: How To Turn A Man On Without Touching Him On Without Touching Him
=
abc
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
␣
.
earlier to height