seankim0915 seankim0915
  • 01-04-2018
  • Mathematics
contestada

Given that a­­b = x, evaluate the following 2a^3b+a^2b+a^b

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Louli
Louli Louli
  • 23-04-2018
Answer:
[tex] \frac{3x^3}{b^2} [/tex] + x

Explanation:
We will try to simplify the given expression into terms of ab and then substitute with ab = x as follows:
2a³b + a²b + ab
a² (2ab + ab) + ab
a² (3ab) + ab
a² (3x) + x

Since ab = x, therefore, a = x/b
Substitute with this in the above expression to get:
(x/b)²(3x) + x
[tex] \frac{3x^3}{b^2} [/tex] + x

Hope this helps :)
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emilyjiang5
emilyjiang5 emilyjiang5
  • 27-04-2019

Answer:

2x^3+x^2+x

Step-by-step explanation:

since a^b = x, then you can just cross out that from each number and replace it with x

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