Answer :
To find the sum of the given expressions [tex]\(12x^2 + 9x^2\)[/tex], follow these steps:
1. Identify the Like Terms: Both terms, [tex]\(12x^2\)[/tex] and [tex]\(9x^2\)[/tex], have the same variable part, which is [tex]\(x^2\)[/tex]. This makes them like terms.
2. Add the Coefficients: Since they are like terms, we can simply add their coefficients (the numbers in front of the variable part).
[tex]\[
12 + 9 = 21
\][/tex]
3. Combine the Terms: Attach the common variable part [tex]\((x^2)\)[/tex] back to the resulting coefficient from the previous step.
[tex]\[
21x^2
\][/tex]
Based on these steps, the sum of the expressions is [tex]\(21x^2\)[/tex].
From the given options, the correct answer is:
A. [tex]\(21x^2\)[/tex]
1. Identify the Like Terms: Both terms, [tex]\(12x^2\)[/tex] and [tex]\(9x^2\)[/tex], have the same variable part, which is [tex]\(x^2\)[/tex]. This makes them like terms.
2. Add the Coefficients: Since they are like terms, we can simply add their coefficients (the numbers in front of the variable part).
[tex]\[
12 + 9 = 21
\][/tex]
3. Combine the Terms: Attach the common variable part [tex]\((x^2)\)[/tex] back to the resulting coefficient from the previous step.
[tex]\[
21x^2
\][/tex]
Based on these steps, the sum of the expressions is [tex]\(21x^2\)[/tex].
From the given options, the correct answer is:
A. [tex]\(21x^2\)[/tex]
