x^6/343+343/x^6 factorise it by using this formula {a^3+b^3 =(a+b)(a^2-ab+b^2)}
Answers
Step-by-step explanation:
Step by Step Solution:
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(1): "x6" was replaced by "x^6". 1 more similar replacement(s).
STEP
1
:
343
Simplify ———
x6
Equation at the end of step
1
:
(x6) 343
———— + ———
343 x6
STEP
2
:
x6
Simplify ———
343
Equation at the end of step
2
:
x6 343
——— + ———
343 x6
STEP
3
:
Calculating the Least Common Multiple
3.1 Find the Least Common Multiple
The left denominator is : 343
The right denominator is : x6
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 3 0 3
Product of all
Prime Factors 343 1 343
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
x 0 6 6
Least Common Multiple:
343x6
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = x6
Right_M = L.C.M / R_Deno = 343
Making Equivalent Fractions :