Math Problem Statement
Expand and simplify: (2 - 2√5) + (5 + √5)
Solution
The problem shown in the image appears to be:
Expand and simplify:
Step 1: Combine like terms
- Combine the constant terms:
- Combine the terms with :
Step 2: Write the simplified expression
The result is:
Would you like further explanation or have any related questions?
Here are 5 related questions you might explore:
- How do you expand and simplify expressions involving square roots?
- What are like terms, and how do you identify them in an equation?
- Can you show an example with three or more terms including square roots?
- How do you handle expressions with nested parentheses involving radicals?
- Why does not simplify to ?
Tip: Always combine terms systematically to avoid missing any like terms!
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Math Problem Analysis
Mathematical Concepts
Simplification of Expressions
Radicals and Square Roots
Combining Like Terms
Formulas
a√b + c√b = (a + c)√b
Simplifying expressions with square roots
Theorems
Properties of Square Roots and Like Terms
Suitable Grade Level
Grades 9-10