Question

Find product of :(2x-y)(2x+3y).​

Answer 1

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

=
`\boxed{4x^2+4xy-3y^2}`

Hope this helps!! :)

Please let me know if you have any questions