Find the product. $$ (6 x-5)^{2} $$ $$ (6 x-5)^{2}=\square $$ $$ ( $$ Simplify your answer.

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UpStudy AI · Accepted Answer

1. Begin with the binomial:
   $$
   (6x - 5)^2
   $$

2. Use the formula for the square of a binomial:
   $$
   (a - b)^2 = a^2 - 2ab + b^2
   $$
   where $$a = 6x$$ and $$b = 5$$.

3. Substitute the values into the formula:
   $$
   (6x - 5)^2 = (6x)^2 - 2(6x)(5) + 5^2
   $$

4. Compute each term:
   - Square the first term:
     $$
     (6x)^2 = 36x^2
     $$
   - Multiply for the middle term:
     $$
     2(6x)(5) = 60x
     $$
   - Square the last term:
     $$
     5^2 = 25
     $$

5. Combine the computed terms:
   $$
   (6x - 5)^2 = 36x^2 - 60x + 25
   $$

The simplified product is:
$$
36x^2 - 60x + 25
$$
The product is $$36x^2 - 60x + 25$$.

Find the product. \( (6 x-5)^{2} \) \( (6 x-5)^{2}=\square \) \( ( \) Simplify your answer.

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