How do you simplify 4a+5a^2+2a^2+a^2?

2 Answers
Mar 3, 2018

4a+8a^2

Explanation:

Terms which are raised to the same power of the unknown can be added together. In this case, we have 3 terms to the power of "2" and one term to the power of "1".

Hence we can add the common terms: 5a^2 + 2a^2 + a^2=8a^2 Then we simply add the remained which we can not add. Hence:

4a+8a^2

Mar 3, 2018

That can be simplified into a(8a+4) or 8a^2+4a

Explanation:

Start by adding the like terms together, that is (terms of a^2)
5a^2+2a^2+a^2 = 8a^2

Now you can rewrite it as 4a + 8a^2

The key here is that you can always add the like terms..
For example,

6x^2 + 3x + 4x^2 + 2x + 3y + 3y^2
Here all the x^2 terms can be added together, all the x terms can be added together, all the y terms can be added together and all the y^2 terms can be added together..

So we get
10x^2 + 5x + 3y^2 + 3y

Can be simplified even further by factoring out the 5x from first 2 terms and 3y from the next two terms,
5x(2x+1) + 3y(y+1)