Find the product? (s-t)(2s-3t)

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the equation:

(s - t)(2s - 3t)

Find the product.

Solution:

In order to find the product of the equation we simply need to 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.

= (s)(2s)
=2s^2
First term of the first equation multiplied to the first term of the second equation.

=(2)(-3t)
= -6ts
First term of the first equation multiplied to the last term of the second equation.

=(-t)(2s)
=-2ts
Last term of the first equation multiplied to the first term of the second equation.

=(-t)(-3t)
= 3t^2
Last term of the first equation multiplied to the fast term of the second equation.

= 2s^2 - 6ts -2ts + 3t^2

= 2s^2 - 8ts + 3t^2

Final answer:

= 2s^2 - 8ts + 3t^2