Respuesta :

Answer:

[tex]26x^2+22x+25[/tex]

Step-by-step explanation:

We remove the brackets, getting [tex]19x^2+12x+12+7x^2+10x+13[/tex].

We then combine like terms, getting [tex](19+7)x^2+(12+10)x+(12+13)[/tex].

As a result, we get [tex]26x^2+22x+25[/tex].

Answer:

[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{26 {x}^{2} + 22x + 25}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(19 {x}^{2} + 12x + 12) + ( {7x}^{2} + 10x + 13)}[/tex]

Remove the unnecessary Parentheses

⇒[tex] \sf{19 {x}^{2} + 12x + 12 + (7 {x}^{2} + 10x + 13)}[/tex]

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

⇒[tex] \sf{19 {x}^{2} + 12x + 12 + 7 {x}^{2} + 10x + 13} [/tex]

Collect like terms

⇒[tex] \sf{26 {x}^{2} + 22x + 12 + 13}[/tex]

Add the numbers

⇒[tex] \sf{26 {x}^{2} + 22x + 25}[/tex]

Hope I helped!

Best regards!