What is the product of (2x - 5)(2x + 5)?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
(2x - 5)(2x + 5)
Determine the product.
Solution:
The product can be found by 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.
= (2x)(2x)
=4x^2
First term of the first equation multiplied to the first term of the second equation.
=(2x)(5)
= 10x
First term of the first equation multiplied to the last term of the second equation.
=(-5)(2x)
=-10x
Last term of the first equation multiplied to the first term of the second equation.
=(-5)(5)
= -25
Last term of the first equation multiplied to the fast term of the second equation.
= 4x^2 + 10x - 10x - 25
=4x^2 - 25
Final answer:
= 4x^2 -25