Math Problem Statement
(x2+2)25(x2+2)2-3
Solution
The expression you've written is:
Step 1: Expand the expression
First, let's break down each part of this expression.
This is a binomial squared, so we apply the formula :
Now, let's handle this part. We already know that . So:
Distribute the 5:
Step 2: Substitute and simplify
Now, substitute these expanded terms back into the original expression:
Distribute the terms
We multiply the two binomials first, and then multiply by .
- Multiply by .
- After that, multiply the resulting expression by .
Would you like to continue with the detailed expansion, or would you like to ask a follow-up question? Let me know how you would like to proceed.
Related Questions:
- How can I simplify a polynomial expression involving exponents?
- What is the distributive property, and how do I apply it to polynomials?
- Can you explain how to expand binomials like and apply them to other terms?
- How do I factor expressions that contain powers of ?
- What is the best way to organize multi-term polynomial expansions?
Tip: Always try to simplify each part of a complicated expression step by step to avoid missing terms or making algebraic errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomial Expansion
Polynomials
Distributive Property
Formulas
(a + b)^2 = a^2 + 2ab + b^2
a(b + c) = ab + ac
Theorems
Binomial Theorem
Distributive Property
Suitable Grade Level
Grades 9-11