Question

Evaluate the expression. \(3 y^{2}+w\) when \(y=8\) and \(w=27\)

Short answer

The final result of the given expression \(3 y^{2}+w\) for \(y=8\) and \(w=27\) is 219

Step-by-step solution

Substitute y

Replace 'y' in the expression with its given value, \(8\). The expression then becomes \(3 * 8^{2} + w\)

Calculate Power

Now calculate the power of '8' that is \(8^{2}\). This results in 64. The expression now simplifies to \(3 * 64 + w\)

Multiply by 3

Next, multiply '64' by '3'. This results in 192. The expression now simplifies to \(192 + w\)

Substitute w

Lastly, replace 'w' in the expression with the given value, '27'. The expression now becomes \(192 + 27\)

Final Calculation

Adding '192' and '27' gives the final result of '219'