Question

translate the verbal expression into an algebraic expression. the product of 7 and the square of x, increased by the difference of 5 and x². (5 + x²) - 7x² 7x² + (5 - x²) 7(2x) + (x² - 5) 7(x² + 5 - x²)

Explanation:

Step1: Translate "product of 7 and square of x"

The square of $x$ is $x^{2}$, and the product of 7 and $x^{2}$ is $7x^{2}$.

Step2: Translate "difference of 5 and $x^{2}$"

The difference of 5 and $x^{2}$ is $5 - x^{2}$.

Step3: Translate "product of 7 and square of x, increased by the difference of 5 and $x^{2}$"

We add the two - expressions from Step1 and Step2, getting $7x^{2}+(5 - x^{2})$.

Answer:

B. $7x^{2}+(5 - x^{2})$