Question

How do you combine `5b ^ { 2} c ^ { 5} + 6b ^ { 5} c ^ { 2} - 4b ^ { 5} c ^ { 2}`?

Answer 1

`5b^2c^5+2b^5c^2`

Explanation:

You can only combine terms by adding and subtracting if they are like terms - their variables and indices must be the same.

In this expressions, only the last two terms can be combined.

`5b^2c^5color(blue)(+6b^5c^2-4b^5c^2)`

`=5b^2c^5color(blue)(+2b^5c^2`

Add the numerical coefficients and keep the variables and indices the same.