Reformatting the input :
Changes made to your input should not influence the solution: (1): "x3" was replaced by "x^3".You are watching: How to factor x^3  8
Step 1 :
Trying to factor as a distinction of Cubes:1.1 Factoring: x38 theory : A distinction of 2 perfect cubes, a3b3 have the right to 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 the 2Check: x3 is the cube that x1Factorization is :(x  2)•(x2 + 2x + 4)
Trying to factor by dividing the middle term1.2Factoring x2 + 2x + 4 The very first term is, x2 that is coefficient is 1.The middle term is, +2x that is coefficient is 2.The last term, "the constant", is +4Step1 : multiply the coefficient that the first term by the continuous 1•4=4Step2 : discover two determinants of 4 who sum equates to the coefficient that 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 components can be uncovered !! Conclusion : Trinomial have the right to not it is in factored
Final result :
(x  2) • (x2 + 2x + 4)
Why learn this
Terms and also topics
Related links
abc
a
x
y
/
abs
( )
7
8
9
*
4
5
6

%
1
2
3
+
0
,
.
See more: What Is 146 Cm To Feet And Inches ? What Is 146 Cm In Feet
=
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
␣
.
ago to top