Perform the indicated operations and simplify. $3 ( 3 t - 5 ) - \left( t ^ { 2 } + 3 \right) - 5 t ( t - 2 )$
A) $- 6 t ^ { 2 } + 14 t - 18$
B) $- 9 t ^ { 2 } + 14 t - 26$
C) $- 6 t ^ { 2 } - 19 t + 26$
D) $- 6 t ^ { 2 } + 19 t + 18$
E) $- 6 t ^ { 2 } + 19 t - 18$

Question

Quizplus · Accepted Answer

First, distribute the terms: $3(3t-5) = 9t - 15$, and $-5t(t-2) = -5t^2 + 10t$. Then, combine all terms: $9t - 15 - (t^2 + 3) - 5t^2 + 10t = -6t^2 + 19t - 18$.

Perform the Indicated Operations and Simplify 3(3t−5)−(t2+3)−5t(t−2)3 ( 3 t - 5 ) - \left( t ^ { 2 } + 3 \right) - 5 t ( t - 2 )3(3t−5)−(t2+3)−5t(t−2)

Perform the Indicated Operations and Simplify $3 ( 3 t - 5 ) - \left( t ^ { 2 } + 3 \right) - 5 t ( t - 2 )$