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Multiply: \( (2 x-3)^{2} \)

Ask by Gonzalez Craig. in the United States
Mar 10,2025

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

Solución

Calculate or simplify the expression \( (2x-3)^2 \). Simplify the expression by following steps: - step0: Solution: \(\left(2x-3\right)^{2}\) - step1: Calculate: \(4x^{2}-12x+9\) The result of multiplying \( (2x-3)^{2} \) is \( 4x^{2}-12x+9 \).

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To multiply \( (2x - 3)^2 \), you can use the formula for the square of a binomial, which is \( (a - b)^2 = a^2 - 2ab + b^2 \). Here, \( a = 2x \) and \( b = 3 \). First, calculate: - \( a^2 = (2x)^2 = 4x^2 \) - \( 2ab = 2 \cdot (2x) \cdot 3 = 12x \) - \( b^2 = 3^2 = 9 \) Putting it all together gives: \[ (2x - 3)^2 = 4x^2 - 12x + 9 \]

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