Question

Simplify. Write in standard form.

t^2(t + 1) - t(2t^2 - 1)

Answer 1

Okay,
\[t^2(t+1)-t(2t^2-1)\]

Factor out the GCF of t from each term in the polynomial.

\[t(t(t+1))-t(2t^2-1)\]

Factor out the GCF of t from the expression

\[t(t(t+1))+t(-(2t^2-1)\]

Factor out the GCF of t from t^2(t+1)−t(2t^2−1)

\[t(t(t+1)−(2t^2−1))\]

Simplify inside each of the factors.

\[t(−t^2+t+1)\] would be the answer.

Answer 2

Thanks!

Answer 3

No problem :)