Home > Algebra > Expressions with One or More Variables

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

Answer 1

#4a+8a^2#

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

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#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

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

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 important thing to remember is that you can always add terms that are similar.

#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)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Nathan Axel

Combine like terms: (4a + 5a^2 + 2a^2 + a^2 = 7a^2 + 4a).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.