Multiply and then simplify the following expression:
(2t + 1)(t - 3)
2t^2 -6t +t -3
=
2t^2 -5t -3
thank you
To multiply the expression (2t + 1)(t - 3), you can use the distributive property. This property states that for any numbers a, b, and c, a(b + c) is equal to ab + ac.
So, applying the distributive property to the given expression, we get:
(2t + 1)(t - 3) = (2t)(t) + (2t)(-3) + (1)(t) + (1)(-3)
Now, let's simplify the expression by multiplying:
(2t)(t) = 2t^2
(2t)(-3) = -6t
(1)(t) = t
(1)(-3) = -3
Putting it all together, we have:
2t^2 - 6t + t - 3
Next, combine the like terms:
2t^2 - 5t - 3
So, after multiplying and simplifying the expression (2t + 1)(t - 3), we get 2t^2 - 5t - 3.