What is the product of (x − 5) and (x − 4)? Use the model to find the result.
Mathematics · High School · Wed Jan 13 2021
Answered on
Given the factors:
(x - 5)(x - 4)
Determine the product.
Solution:
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.
= (x)(x)
=x^2
First term of the first equation multiplied to the first term of the second equation.
=(x)(-4)
= -4x
First term of the first equation multiplied to the last term of the second equation.
=(-5)(x)
=-5x
Last term of the first equation multiplied to the first term of the second equation.
=(-5)(-4)
= 20
Last term of the first equation multiplied to the fast term of the second equation.
= x^2 - 4x - 5x + 20
= x^2 - 9x + 20
Final answer:
= x^2 - 9x + 20