SOLUTION: Can you please simply this and show steps? (a² + 4a²) + (a³ - 5a² + 7a)

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Question 717445: Can you please simply this and show steps?
(a² + 4a²) + (a³ - 5a² + 7a)
Found 4 solutions by KMST, lynnlo, josmiceli, stanbon:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If it's really %28a%5E2%2B4a%5E2%29%2B%28a%5E3-5a%5E2%2B7a%29
a%5E2%2B4a%5E2=5a%5E2
It is strange that it would be written as %28a%5E2%2B4a%5E2%29 and it made me suspect that there was a typo.
The two sets parentheses can be removed without changing the result, because they are preceded by a + sign (or at the start of the expression).

I would say that a%5E3%2B7a or a%28a%5E2%2B7%29 is as simplified as you can get.
Depending on what I need to do with the expression afterwards, I would choose one or the other simplified version.

Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
(a^2+4a^2)+(a^3-5a^2+7a)
REMOVE PARENTHESES AROUND a^2,4a^2
a^2+4a^2+(a^3-5a^2+7a)
REMOVE PARENTHESES AROUND a^3,-5a^2,7a
a^2+4a^2+a^3-5a^2+7a
ELIMINATE SIMILAR TERMS a^2,4a^2,-5a^2
REPLACE WITH(1+4-5)a^2
(1+4-5)a^2+a^3+7a
SINCE (1+4-5)a^2 HAS A ZERO FACTOR
0+a^3+7a
REMOVE EXTRANEOUS ZERO(0)
a^3+7a

Answer by josmiceli(19441) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simply this and show steps?
(a² + 4a²) + (a³ - 5a² + 7a)
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Rearrange:
= 5a^2 + a^3 -5a^2 + 7a
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= a^3 + 7a
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Cheers,
Stan H.