What’s the product (6r-1)(-8r-3)

Given the numerical expression:
 

(6r - 1) (-8r-3)

Determine the product.

Solution:

Since we are asked to multiply two polynomials, we will use the FOIL method in solving for the given numerical expression. 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.

= (6r)(-8r)

=-48r^2

First term of the first equation multiplied to the first term of the second equation.

=(6r)(-3)

= -18r

First term of the first equation multiplied to the last term of the second equation.

=(-1)(-8r)

=8r

Last term of the first equation multiplied to the first term of the second equation. Noticed that the sign changes since it is a common rule that if a negative number is multiplied to another negative number, the answer will be positive. In simple terms, similar operation will result to positive, while opposite operations will result to negative.

=(-3)(-1)

= 5

Last term of the first equation multiplied to the fast term of the second equation.

The final answer will be,
=-48r^2 - 18r + 8r +5

= -48r^2 - 10r + 5