Find the product. (4x - 3y) (2x + y)
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the numerical equation:
(4x - 3y)(2x + y)
Determine the product.
Solution:
In order to determine the product of the given numerical equation, we can use the FOIL Method. Multiply the first term of the first equation, to the first and last term of the second equation. Then, multiply the last term of the first equation, to the first and last term of the second equation.
To clearly see how it works, here's a step by step solution.
= (4x)(2x)
=8x^2
First term of the first equation multiplied to the first term of the second equation.
=(4x)(y)
= 4xy
First term of the first equation multiplied to the last term of the second equation.
=(-3y)(2x)
= -6xy
Last term of the first equation multiplied to the first term of the second equation.
=(-3y)(y)
= -3y^2
Last term of the first equation multiplied to the fast term of the second equation.
= 8x^2 + 4xy - 6xy - 3y^2
= 8x^2 - 2xy - 3y^2
Final answer:
= 8x^2 - 2xy - 3y^2