Sure, let's solve this problem step-by-step:
We are given that the sum of an unknown term (let's call it [tex]\( A \)[/tex]) and [tex]\( 7x^2 \)[/tex] equals [tex]\( 10x^2 \)[/tex]. Mathematically, this can be written as:
[tex]\[ A + 7x^2 = 10x^2 \][/tex]
To find the value of [tex]\( A \)[/tex], we need to isolate [tex]\( A \)[/tex] on one side of the equation. We can do this by subtracting [tex]\( 7x^2 \)[/tex] from both sides of the equation:
[tex]\[ A + 7x^2 - 7x^2 = 10x^2 - 7x^2 \][/tex]
Simplifying the equation, we get:
[tex]\[ A = 3x^2 \][/tex]
So, the missing term is [tex]\( 3x^2 \)[/tex].
Therefore, the correct answer to fill in the blank is:
[tex]\[ \boxed{3x^2} \][/tex]
Let's complete the statement:
The sum of [tex]\(\boxed{3 x^2}\)[/tex] and [tex]\(7 x^2\)[/tex] is [tex]\(10 x^2\)[/tex].
