Find the product. (4x - 5)(2x^2 +4x +4)
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the numerical statement:
(4x - 5)(2x^2 +4x + 4)
Determine the product.
Solution:
In order to determine the product, we simply need to apply 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^2)
=8x^3
First term of the first equation multiplied to the first term of the second equation.
=(4x)(4x)
= 16x^2
First term of the first equation multiplied to the second term of the second equation.
=(4x)(4)
= 16x
First term of the first equation multiplied to the last term of the second equation.
= (5)(2x^2)
=10x^2
Last term of the first equation multiplied to the first term of the second equation.
=(5)(4x)
= 20x
Last term of the first equation multiplied to the second term of the second equation.
=(5)(4)
= 20
Last term of the first equation multiplied to the last term of the second equation.
= 8x^3 + 16x^2 + 16x + 10x^2 + 20x + 20
= 8x^3 + 26x^2 + 36x +20
Final answer:
= 8x^3 + 26x^2 + 36x +20