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6. Eva expands \( 4(2 p-3) \). Here is her working out. What mistake has Eva made? What is the correct answer?

Ask by Ross Evans. in the United Kingdom
Mar 19,2025

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Eva forgot to distribute the 4. The correct expansion is \(8p - 12\).

Solución

Calculate or simplify the expression \( 4(2p-3) \). Simplify the expression by following steps: - step0: Solution: \(4\left(2p-3\right)\) - step1: Rearrange the terms: \(8p-12\) Eva's mistake is that she did not distribute the 4 correctly. The correct expansion of \(4(2p-3)\) is \(8p-12\).

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Bonus Knowledge

Eva likely made a mistake in distributing the \(4\) across both terms in the parentheses. The correct process is to multiply \(4\) by both \(2p\) and \(-3\). So instead of simply writing down the expression again, the right calculation should be: 1. \(4 \cdot 2p = 8p\) 2. \(4 \cdot -3 = -12\) Putting it together, Eva should have written the expanded expression as \(8p - 12\).

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