Question

(3a2 + 2ab + 2b) + (5a2 − 3ab + 9)

Answer 1

Step-by-step explanation:

$\tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})$

~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :

⤑ $\tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}$

~Like terms are those which have the same base. Combine the like terms :

⤑ $\tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}$

⤑ $\sf{8 {a}^{2} - ab + 2b + 9}$

$\red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}$

Hope I helped ! ツ

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Answer 2

Answer:

Simplified answer is: $8a^2 - ab + 2b + 9$

Step-by-step explanation:

Key skills needed for understanding: Combining Like Terms

1) You are given the equation: $(3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)$

- Since you are adding here, you can remove the parentheses.

- If you remove them it would be --> $3a^2 + 2ab + 2b + 5a^2 - 3ab + 9$

2) Now we have to combine like terms in order to simplify this equation.

Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "$a^2$" or the terms that have nothing  - these terms are numbers such as 9 or 5).

You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.

3) If you combine like terms ( $3a^2 + 5a^2$, $2ab - 3ab$) you will get a different expression: $8a^2 - ab + 2b + 9$.

$8a^2 - ab + 2b + 9$ is the answer.

Hope you understood and have a nice day!! :D