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

Question

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

Philoid · Accepted Answer

To find: ( - 5)*(2*0)

Given: a*b = a + 4b²

⇒ (2*0) = 2 + 4 × 0² = 2

Now ( - 5)*2 = - 5 + 4 × 2² = - 5 + 16 = 11