Simplify (a ^ 2)/((a - b)(a - c)) + (b ^ 2)/((b - a)(b - c)) + (c ^ 2)/((c - a)(c - b))
Answers
Answer:
i gave the answer
Step-by-step explanation:
Simplify —————
c - a
Equation at the end of step
1
:
2 2 2
(((a•—————)•(a-c))+((b•—————)•(b-a)))+((c•———)•(c-b))
(a-b) (b-c) c-a
STEP
2
:
Equation at the end of step 2
2 2 2c
(((a•—————)•(a-c))+((b•—————)•(b-a)))+(———•(c-b))
(a-b) (b-c) c-a
STEP
3
:
Equation at the end of step 3
2 2 2c•(c-b)
(((a•—————)•(a-c))+((b•—————)•(b-a)))+————————
(a-b) (b-c) c-a
STEP
4
:
2
Simplify —————
b - c
Equation at the end of step
4
:
2 2 2c•(c-b)
(((a•—————)•(a-c))+((b•———)•(b-a)))+————————
(a-b) b-c c-a
STEP
5
:
Equation at the end of step 5
2 2b 2c•(c-b)
(((a•—————)•(a-c))+(———•(b-a)))+————————
(a-b) b-c c-a
STEP
6
:
Equation at the end of step 6
2 2b•(b-a) 2c•(c-b)
(((a•—————)•(a-c))+————————)+————————
(a-b) b-c c-a
STEP
7
:
2
Simplify —————
a - b
Equation at the end of step
7
:
2 2b•(b-a) 2c•(c-b)
(((a•———)•(a-c))+————————)+————————
a-b b-c c-a
STEP
8
:
Equation at the end of step 8
2a 2b•(b-a) 2c•(c-b)
((———•(a-c))+————————)+————————
a-b b-c c-a
STEP
9
:
Equation at the end of step 9
2a•(a-c) 2b•(b-a) 2c•(c-b)
(————————+————————)+————————
a-b b-c c-a
STEP
10
:
Calculating the Least Common Multiple :
10.1 Find the Least Common Multiple
The left denominator is : a-b
The right denominator is : b-c
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
a-b 1 0 1
b-c 0 1