Find the product of (4x + 3y)(4x − 3y). 16x2 − 24xy + 9y2 16x2 − 9y2 16x2 + 24xy + 9y2 16x2 + 9y2
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
(4x + 3y) (4x - 3y)
Determine the product.
Solution:
In order to determine the product of the given equation, we will use the FOIL Method. In using 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)(4x)
=16x^2
First term of the first equation multiplied to the first term of the second equation.
=(4x)(-3y)
= -12xy
First term of the first equation multiplied to the last term of the second equation.
=(3y)(4x)
=12yx
Last term of the first equation multiplied to the first term of the second equation.
=(3y)(-3y)
= -9y^2
Last term of the first equation multiplied to the fast term of the second equation.
= 16x^2 - 12xy + 12xy - 9y^2
= 16x^2 - 9y^2 (Difference of two squares)
Final answer:
= 16x^2 - 9y^2