Question

What is the sum of (4b^3 + 2b^2) + (6b+b^2 +2b^3)?
Write your answer in standard form.

Answer 1

`6b^3+3b^2+6b`

Explanation:

`\left(4b^3+2b^2\right)+\left(6b+b^2+2b^3\right)`

`4b^3+2b^2+6b+b^2+2b^3`

`\mathrm{Group\:like\:terms}`

`4b^3+2b^3+2b^2+b^2+6b`

`\mathrm{Add\:similar\:elements:}\:4b^3+2b^3=6b^3`

`6b^3+2b^2+b^2+6b`

`\mathrm{Add\:similar\:elements:}\:2b^2+b^2=3b^2`

`6b^3+3b^2+6b`