11. $$ (3 w-5 t)^{2}+w(7 w-8 t) $$

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UpStudy AI · Accepted Answer

1. Expand the square term:
   $$
   (3w - 5t)^2 = (3w)^2 - 2 \cdot 3w \cdot 5t + (5t)^2 = 9w^2 - 30wt + 25t^2.
   $$

2. Expand the product $$ w(7w - 8t) $$:
   $$
   w(7w - 8t) = 7w^2 - 8wt.
   $$

3. Combine like terms:
   $$
   9w^2 - 30wt + 25t^2 + 7w^2 - 8wt = (9w^2 + 7w^2) + (-30wt - 8wt) + 25t^2.
   $$
   $$
   = 16w^2 - 38wt + 25t^2.
   $$

The simplified expression is:
$$
16w^2 - 38wt + 25t^2.
$$
The simplified expression is $$ 16w^2 - 38wt + 25t^2 $$.

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