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find the square. simplify your answer. (3s - 2)²

Question

find the square. simplify your answer.
(3s - 2)²

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = 3s\) and \(b = 2\).

Step2: Calculate \(a^2\)

\(a^2=(3s)^2 = 9s^2\)

Step3: Calculate \(-2ab\)

\(-2ab=-2\times(3s)\times(2)=-12s\)

Step4: Calculate \(b^2\)

\(b^2 = 2^2=4\)

Step5: Combine the terms

\((3s - 2)^2=9s^2-12s + 4\)

Answer:

\(9s^2-12s + 4\)