$$ (7 w+5)\left(4 w^{2}-w-3\right) $$ Simpily your anower.

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UpStudy AI · Accepted Answer

Certainly! Let's simplify the expression:

$$
(7w + 5)(4w^{2} - w - 3)
$$

**Step 1: Distribute each term in the first polynomial to each term in the second polynomial.**

$$
\begin{align*}
(7w + 5)(4w^{2} - w - 3) &= 7w \cdot 4w^{2} + 7w \cdot (-w) + 7w \cdot (-3) \
&\quad + 5 \cdot 4w^{2} + 5 \cdot (-w) + 5 \cdot (-3)
\end{align*}
$$

**Step 2: Perform the multiplication.**

$$
\begin{align*}
&= 28w^{3} - 7w^{2} - 21w + 20w^{2} - 5w - 15
\end{align*}
$$

**Step 3: Combine like terms.**

$$
\begin{align*}
28w^{3} &+ (-7w^{2} + 20w^{2}) + (-21w - 5w) - 15 \
&= 28w^{3} + 13w^{2} - 26w - 15
\end{align*}
$$

**Final Simplified Expression:**

$$
28w^{3} + 13w^{2} - 26w - 15
$$
The simplified expression is $$ 28w^{3} + 13w^{2} - 26w - 15 $$.

Simpily your anower.

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