Question

(19x^2+12x+12)+(7x^2+10x+13)

Answer 1

`\boxed{ \huge{ \boxed{ \bold{ \sf{26 {x}^(2) + 22x + 25}}}}}`

Explanation:

`\sf{(19 {x}^(2) + 12x + 12) + ( {7x}^(2) + 10x + 13)}`

Remove the unnecessary Parentheses

⇒
`\sf{19 {x}^(2) + 12x + 12 + (7 {x}^(2) + 10x + 13)}`

When there is a ( + ) in front of an expression in parentheses , the expression remains the same

⇒
`\sf{19 {x}^(2) + 12x + 12 + 7 {x}^(2) + 10x + 13}`

Collect like terms

⇒
`\sf{26 {x}^(2) + 22x + 12 + 13}`

Add the numbers

⇒
`\sf{26 {x}^(2) + 22x + 25}`

Hope I helped!

Best regards!

Answer 2

`26x^2+22x+25`

Explanation:

We remove the brackets, getting
`19x^2+12x+12+7x^2+10x+13`.

We then combine like terms, getting
`(19+7)x^2+(12+10)x+(12+13)`.

As a result, we get
`26x^2+22x+25`.