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Find the product.

left parenthesis 9 x minus 5 right parenthesis squared
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Part 1
left parenthesis 9 x minus 5 right parenthesis squaredequals
  
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1 answer

To find the product of \((9x - 5)^2\), we will apply the formula for the square of a binomial, which is given by:

\[ (a - b)^2 = a^2 - 2ab + b^2 \]

Here, \(a = 9x\) and \(b = 5\). Now we can calculate each part:

  1. \(a^2 = (9x)^2 = 81x^2\)
  2. \(b^2 = 5^2 = 25\)
  3. \(2ab = 2 \cdot (9x) \cdot 5 = 90x\)

Putting these values into the formula:

\[ (9x - 5)^2 = a^2 - 2ab + b^2 = 81x^2 - 90x + 25 \]

Thus, the final answer is:

\[ (9x - 5)^2 = 81x^2 - 90x + 25 \]