Find product of :(2x-y)(2x+3y).

Question

asked Aug 21, 2022 131k views

1 Answer

Julee · Answer 1 · 2022-08-25T22:31:12+0000

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