To simplify the expression \((5x + 2)^2 - 14(5x + 2)\), follow these steps:

1. **Expand** the square term \((5x + 2)^2\):
   \[
   (5x + 2)^2 = (5x + 2)(5x + 2)
   \]
   Expanding this:
   \[
   = 25x^2 + 10x + 10x + 4 = 25x^2 + 20x + 4
   \]

2. **Distribute** the \(-14\) across the \((5x + 2)\):
   \[
   -14(5x + 2) = -70x - 28
   \]

3. **Combine** the results:
   \[
   25x^2 + 20x + 4 - 70x - 28
   \]

4. **Simplify** the expression by combining like terms:
   \[
   25x^2 + (20x - 70x) + (4 - 28) = 25x^2 - 50x - 24
   \]

So, the simplified form of the expression is:
\[
25x^2 - 50x - 24
\]

Would you like details or have any questions?

Here are some related questions:
1. How do you factor quadratic expressions?
2. What are the steps to solve quadratic equations?
3. How do you complete the square for quadratic equations?
4. How can you use the quadratic formula to solve equations?
5. What are the properties of parabolas from quadratic equations?

**Tip:** Always double-check your expanded terms and distribution to avoid simple errors.

Learn how to simplify the expression (5x+2)^2 - 14(5x+2) step-by-step with detailed explanations. This problem involves expanding quadratic expressions and combining like terms in algebra. Suitable for Grades 7-9 students.

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