Answer:
Correct answer: [tex]t^{2} + 3t -10[/tex]
Step-by-step explanation:
(t - 2)(t + 5)
First you have to distribute the numbers in the bracket
- The first number of the first bracket multiplied by the first number in the second bracket
- the first number of the first bracket multiplied by the second number of the second bracket
- the second number of the first bracket multiplied by the first number of the second bracket
- the second number of the first bracket multiplied by the second number of the second bracket
(t x t)(t x 5)(-2 x t)(-2 x 5) =
[tex]t^{2} + 5t - 2t -10[/tex] = (subtract the like terms)
[tex]t^{2} (+5t - 2t) -10[/tex] =
[tex]t^{2} + 3t - 10[/tex]
I hope this helped
