what rational algebraic expression is the same as 3a3-27a/(a+3)(a-3)
Answers
Answer:
Step by Step Solution
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STEP
1
:
a
Simplify —————
a + 3
Equation at the end of step
1
:
a
(3•(a3))-((27•———)•(a-3))
a+3
STEP
2
:
Equation at the end of step 2
27a
(3 • (a3)) - (————— • (a - 3))
a + 3
STEP
3
:
Equation at the end of step 3
27a • (a - 3)
(3 • (a3)) - —————————————
a + 3
STEP
4
:
Equation at the end of step
4
:
27a • (a - 3)
3a3 - —————————————
a + 3
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using (a+3) as the denominator :
3a3 3a3 • (a + 3)
3a3 = ——— = —————————————
1 (a + 3)
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Step-by-step explanation: