Math Problem Statement
(5√2x + √5)(-4√2x + √5x)
Solution
The given mathematical expression is:
We will expand it using the distributive property .
Expansion Steps:
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Multiply the first terms:
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Multiply the outer terms:
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Multiply the inner terms:
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Multiply the last terms:
Combine all terms:
This is the expanded and simplified form of the expression:
Let me know if you'd like a step-by-step explanation of any part of this process or have additional questions.
Related Questions:
- How can we factor similar expressions back to their original form?
- What are some common properties of square roots in algebra?
- How can we handle square roots involving fractional exponents?
- Can we simplify expressions involving terms like further?
- How does this relate to polynomial multiplication?
Tip:
When dealing with square roots, always check if the radicand (the term inside the root) can be simplified for easier computation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Expansion
Radicals
Formulas
Distributive property (a + b)(c + d) = ac + ad + bc + bd
Theorems
Properties of square roots
Suitable Grade Level
Grades 9-10