Question

Expand & simplify
3(t+5)+5(t−6)

Answer 1

Solution: 8t-15

Detailed explanation:

First the problem asks us to expand

`\tt 3(t+5)=3\cdot t +3\cdot5=3t+15`

Similarly

`\tt 5(t-6)=5\cdot t -5\cdot 6=5t-30`

Therefore

`\tt 3t+15+5t-30`

Upon combining like terms

`\tt 8t+15-30`

Upon doing this further

`\tt 8t-15`

Answer 2

8t - 15

Step-by-step explanation:

⇒ 3(t+5)+5(t−6)

distribute inside parenthesis

⇒ 3(t) + 3(5) + 5(t) + 5(-6)

multiply the variables

⇒ 3t + 15 + 5t - 30

collect like terms

⇒ 3t + 5t + 15 - 30

add/ subtract like terms

⇒ 8t - 15