Math Problem Statement
Expand and state your answer as a polynomial in standard form. left parenthesis, 4, x, cubed, plus, y, cubed, right parenthesis, squared (4x 3 +y 3 ) 2
Solution
We are tasked with expanding and writing the polynomial in standard form.
To solve this, we can apply the square of a binomial formula:
In this case, and . Applying the formula:
Now, calculate each term:
Putting it all together:
This is the expanded polynomial in standard form.
Would you like more details on any step or further clarification?
Here are five related questions:
- What is the square of ?
- How does the binomial expansion formula apply to cubes?
- Can you expand using a similar approach?
- What is the general formula for expanding for any ?
- How do you simplify higher-degree polynomials in standard form?
Tip: Always simplify the individual terms of your expansion before combining them into the final polynomial.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Binomial Expansion
Formulas
(a + b)^2 = a^2 + 2ab + b^2
Theorems
Binomial Expansion Theorem
Suitable Grade Level
Grades 9-12