Question

Find the sum of 5x^2y and (2x^2y + x^2y) the sum of 5x^2y and (2x^2y + x^2y) is

Answer 1

8x^2y

Explanation:

The sum of 5x^2y and (2x^2y + x^2y) can be represented mathematically as;

5x^2y + (2x^2y + x^2y)

= 5x^2y + 2x^2y + x^2y

Factoring out the common value which is x^2y we will have;

x^2y(5+2+1)

=x^2y(8)

= 8x^2y

Therefore the sum of the two functions will give 8x^2y

Answer 2

`8 {x}^(2) y`

Explanation:

We want to find the sum of

`5 {x}^(2) y`

and

`(2 {x}^(2) y + {x}^(2)y)`

We add to obtain:

`5 {x}^(2)y + (2 {x}^(2) y + {x}^(2)y )`

Simplify the parenthesis to obtain:

`5 {x}^(2)y + 3 {x}^(2) y`

We simplify further by combining these two terms to get

`8 {x}^(2) y`