Question

Let *: R × R → R be a binary operation given by a * b = a + 4b². Then, compute (-5) * (2 * 0).

Answer 1

We know that a * b = a + 4b²

It is given that

(-5) * (2 * 0) = (-5) * (2 + 4 × 0²) = – 5 * 2

In the same way

= – 5 + 4 × (-2)² = 11