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If\(2ab = 12\), evaluate \(8a^2b^2\).

 Feb 19, 2019
 #1
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If \(2ab = 12\), evaluate \(8a^2b^2\).

 

\(\begin{array}{|rcll|} \hline 2ab &=& 12 \quad | \quad : 2 \\ ab &=& \dfrac{12}{2} \\ \mathbf{ab} & \mathbf{=} & \mathbf{6} \\\\ 8a^2b^2 &=& 8 (ab)^2 \quad | \quad \mathbf{ab=6} \\ &=& 8\cdot (6)^2 \\ &=& 8\cdot 36 \\ &=& 288 \\ \hline \end{array}\)

 

\(8a^2b^2 = 288 \)

 

laugh

 Feb 19, 2019

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