Answer:
[tex]7r^{2} +5-x^{2}[/tex]
Step-by-step explanation:
The "product" is the answer to a multiplication problem, which is why we know to multiply in the beginning of the equation. "The square of r" means r squared, which translates to r^2. Therefore, the product of 7 and the square of r would be translated into [tex]7r^{2}[/tex].
"Increased by" means addition because you are increasing the previous value, so we know to add after [tex]7r^{2}[/tex].
The "difference" is the answer to a subtraction problem, which is why we know to subtract in this part of the equation. The difference of 5 and x^2 would be translated into [tex]5-x^{2}[/tex].
When we put all of these components together, we arrive at [tex]7r^{2} +5-x^{2}[/tex].
I hope this helps! If it does, a brainliest would be much appreciated :)