Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
- First, which means multiplying the first terms together;
- Outer, which means that we multiply the outermost terms when the binomials are placed side by side;
- Inner, which means multiply the innermost terms together;
- Last, which means that we multiply the last term in each binomial together.
Solve:
Given
(2x - y) (2x + 3y)
Expand parentheses and apply the FOIL method
=4x² + 6xy - 2xy - 3y²
Combine like terms
=4x² + (6xy - 2xy) - 3y²
=[tex]\boxed{4x^2+4xy-3y^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
