Question

(9a³+3a²-5a+7)by(3a-1)​

Answer 1

Answer:

Step-by-step explanation:

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9a3-3a2-3a+4/3a+2

Final result :

27a3 - 9a2 - 5a + 6

———————————————————

3

Step by step solution :

Step 1 :

4

Simplify —

3

Equation at the end of step 1 :

4

((((9•(a3))-(3•(a2)))-3a)+(—•a))+2

3

Step 2 :

Equation at the end of step 2 :

4a

((((9•(a3))-3a2)-3a)+——)+2

3

Step 3 :

Equation at the end of step 3 :

4a

(((32a3 - 3a2) - 3a) + ——) + 2

3

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 3 as the denominator :

9a3 - 3a2 - 3a (9a3 - 3a2 - 3a) • 3

9a3 - 3a2 - 3a = —————————————— = ————————————————————

1 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 5 :

Pulling out like terms :

5.1 Pull out like factors :

9a3 - 3a2 - 3a = 3a • (3a2 - a - 1)