subtract minus, 2, x, squared, minus, 2, x, minus, 7−2*x*2−2*x*−7 from 2, x, squared, plus, 72*x*2+7.

To subtract the expression \( -2x^2 - 2x - 7 - 2x \cdot 2 - 2x \cdot (-7) \) from the expression \( 2x^2 + 7 \), follow these steps:

1. **Simplify the expression being subtracted**:
   \[
   -2x^2 - 2x - 7 - 2x \cdot 2 - 2x \cdot (-7)
   \]
   Simplify each multiplication:
   \[
   -2x^2 - 2x - 7 - 4x + 14x
   \]
   Combine like terms:
   \[
   -2x^2 + 10x - 7
   \]

2. **Subtract the simplified expression from \(2x^2 + 7\)**:
   \[
   (2x^2 + 7) - (-2x^2 + 10x - 7)
   \]
   Distribute the negative sign:
   \[
   2x^2 + 7 + 2x^2 - 10x + 7
   \]

3. **Combine like terms**:
   \[
   2x^2 + 2x^2 - 10x + 7 + 7
   \]
   This simplifies to:
   \[
   4x^2 - 10x + 14
   \]

The final result is \(4x^2 - 10x + 14\).

Would you like more details or have any questions?

Here are five related questions:
1. How do you simplify an expression with multiple terms?
2. What is the result of subtracting polynomials?
3. Can you expand and simplify \( (x - 3)(x + 4) \)?
4. What happens when you subtract a negative term?
5. How do you combine like terms in an algebraic expression?

**Tip:** When subtracting algebraic expressions, distribute the negative sign carefully to avoid mistakes.

Learn how to subtract -2x^2 - 2x - 7 from 2x^2 + 7 step-by-step with detailed algebraic explanations. This problem involves polynomial subtraction and combining like terms, suitable for Grades 9-12 students.

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