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------------------------------------------------ Find the sum:



[tex]12x^2 + 9x^2 =[/tex]



A. [tex]21x^2[/tex]

B. [tex]21x^4[/tex]

C. [tex]22x^2[/tex]

D. [tex]22x^4[/tex]

Answer :

We are given the expression:
$$12x^2 + 9x^2.$$

Since both terms have the same variable part, $x^2$, we can combine them by adding their coefficients.

Step 1: Write the coefficients of the like terms.
- The coefficient of the first term is $12$.
- The coefficient of the second term is $9$.

Step 2: Add the coefficients:
$$12 + 9 = 21.$$

Step 3: Attach the common variable part $x^2$ to the sum of the coefficients to get:
$$21x^2.$$

Thus, the sum is:
$$21x^2.$$

The correct answer is A. $21x^2$.