Answer:
=3t3−2t2+174t+136
Step-by-step explanation:
Let's simplify step-by-step.
18(8+9t)−(t2+4)(2−3t)
Distribute:
=(18)(8)+(18)(9t)+3t3+−2t2+12t+−8
=144+162t+3t3+−2t2+12t+−8
Combine Like Terms:
=144+162t+3t3+−2t2+12t+−8
=(3t3)+(−2t2)+(162t+12t)+(144+−8)
=3t3+−2t2+174t+136
Answer: a, b, c, & d
Step-by-step explanation:
18(8 + 9t) - (t² + 4)(2 - 3t)
= 144 + 162t - (2t² - 3t³ + 8 - 12t)
= 144 + 162t - 2t² + 3t³ - 8 + 12t
= 3t³ - 2t² + 174t + 136
a) The simplified expression is a polynomial. TRUE (there are many terms)
b) The simplified expression has a constant term. TRUE (136 is the constant)
c) The simplified expression is cubic. TRUE (the degree is 3)
d) The simplified expression has four terms. TRUE
e) The simplified expression is a trinomial. FALSE (there are 4 terms, not 3)
