"Five times the square of \( x \)" can be expressed mathematically as \( 5x^2 \). This represents the operation of squaring \( x \) (multiplying \( x \) by itself) and then multiplying the result by 5.

For example, if \( x = 3 \), then:

\[
5x^2 = 5 \times (3^2) = 5 \times 9 = 45
\]

Would you like more details or have any questions?

Here are some related questions:

1. How do you express "seven times the square of \( x \)"?
2. What is the difference between \( 5x^2 \) and \( (5x)^2 \)?
3. How do you solve the equation \( 5x^2 = 45 \) for \( x \)?
4. What is the graph of \( y = 5x^2 \) like?
5. How does the coefficient 5 affect the parabola of \( y = 5x^2 \) compared to \( y = x^2 \)?

**Tip:** Squaring a number always gives a non-negative result, and multiplying by a positive constant like 5 scales that result.

"Five times the square of \( x \)" explained with examples and solutions. Learn how to express \( 5x^2 \) mathematically and apply it in calculations. Suitable for Grades 7-9 students.

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