Find each product. See Example 5. (5r - 3t²)²

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Recognize that the expression is a square of a binomial: \((5r - 3t^{2})^{2}\). This means you will use the formula for the square of a binomial: \((a - b)^{2} = a^{2} - 2ab + b^{2}\).

Identify the terms \(a\) and \(b\) in the binomial: here, \(a = 5r\) and \(b = 3t^{2}\).

Calculate the square of the first term: \(a^{2} = (5r)^{2} = 25r^{2}\).

Calculate twice the product of the two terms: \(-2ab = -2 \times 5r \times 3t^{2} = -30rt^{2}\).

Calculate the square of the second term: \(b^{2} = (3t^{2})^{2} = 9t^{4}\). Then, combine all parts to write the expanded expression as \(25r^{2} - 30rt^{2} + 9t^{4}\).

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