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Answer :
To solve the problem of finding the sum of [tex]\(12x^2 + 9x^2\)[/tex], we need to add the coefficients of the like terms.
1. Identify Like Terms: Both terms [tex]\(12x^2\)[/tex] and [tex]\(9x^2\)[/tex] have the same variable part, [tex]\(x^2\)[/tex]. Therefore, they are like terms, and we can add their coefficients.
2. Add the Coefficients: The coefficients we need to add are 12 and 9.
[tex]\[
12 + 9 = 21
\][/tex]
3. Combine the Result: Since both terms had [tex]\(x^2\)[/tex], the sum of the coefficients will also be multiplied by [tex]\(x^2\)[/tex], resulting in [tex]\(21x^2\)[/tex].
The correct answer is [tex]\(\boxed{21x^2}\)[/tex], which corresponds to option A: [tex]\(21x^2\)[/tex].
1. Identify Like Terms: Both terms [tex]\(12x^2\)[/tex] and [tex]\(9x^2\)[/tex] have the same variable part, [tex]\(x^2\)[/tex]. Therefore, they are like terms, and we can add their coefficients.
2. Add the Coefficients: The coefficients we need to add are 12 and 9.
[tex]\[
12 + 9 = 21
\][/tex]
3. Combine the Result: Since both terms had [tex]\(x^2\)[/tex], the sum of the coefficients will also be multiplied by [tex]\(x^2\)[/tex], resulting in [tex]\(21x^2\)[/tex].
The correct answer is [tex]\(\boxed{21x^2}\)[/tex], which corresponds to option A: [tex]\(21x^2\)[/tex].
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