Prove that \((6a) × (2c) × (a + 3)\) \(=\) 12\(a^{2} c\) \(+\) 36\(ac\).
Proof:
\((6a) × (2c)\) \(=\)
\(\times\) \((a + 3)\)
The above product is expanded using .
The first term is expanded as follows:
12\(ac\)\(\times\) \(a\) \(=\) 12\(a^{1+1} c\) [By ]
\(=\) 12\(a^{2} c\)
The second term is expanded as follows:
12\(ac\)\(\times\) \(3\) \(=\) 12 \(\times 3\) \(a \times c\)
\(=\) \(ac\)
Combine the terms.
\((6a) × (2c) × (a + 3)\) \(=\) 12\(a^{2} c\) \(+\) \(ac\).
Hence, proved.