Let's simplify the given expression \( (x + 5)^2 - 36 \).

### Step 1: Expand \( (x + 5)^2 \)
\[
(x + 5)^2 = (x + 5)(x + 5) = x^2 + 10x + 25
\]

### Step 2: Substitute this into the expression
\[
(x + 5)^2 - 36 = x^2 + 10x + 25 - 36
\]

### Step 3: Simplify the constants
\[
x^2 + 10x + 25 - 36 = x^2 + 10x - 11
\]

Thus, the simplified form of the expression is:
\[
x^2 + 10x - 11
\]

Would you like more details or have any questions about this? Here are 5 related problems you can try:

1. Simplify \( (x - 3)^2 - 16 \).
2. Factor the quadratic expression \( x^2 + 10x - 11 \).
3. Solve the equation \( (x + 5)^2 - 36 = 0 \).
4. Expand \( (2x - 4)^2 \).
5. Simplify \( (x + 7)^2 - 49 \).

**Tip:** When simplifying expressions, always expand and combine like terms step by step to avoid mistakes.

Learn how to simplify the expression (x + 5)^2 - 36 step-by-step with a detailed solution. This problem covers key algebraic concepts, including expanding quadratic expressions and simplifying constants. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation