Math Problem Statement
(4x - y)^2
Solution
The problem shown in the image is:
This is a binomial square, and it can be expanded using the formula for the square of a binomial:
Here, and . Applying the formula:
Now, simplify each term:
So, the expanded form is:
Would you like more details on how this was derived, or do you have any further questions?
Here are five related questions for practice:
- Expand and simplify .
- Expand and simplify .
- What is the result of ?
- Expand and explain each step.
- What happens when you square a sum, such as ?
Tip: When squaring binomials, always use the binomial square formula to quickly expand and simplify.
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Math Problem Analysis
Mathematical Concepts
Algebra
Binomial Expansion
Quadratic Expressions
Formulas
(a - b)^2 = a^2 - 2ab + b^2
Theorems
-
Suitable Grade Level
Grades 9-10