If * is an operat

We have been given that,

a * b = a × b + (a × a + b × b) …(i)

Apply the same formula in the questions that follows:

(i) We have (-3) * (-5)

Put a = -3 and b = -5 in equation (i), we get

(-3) * (-5) = [ (-3) × (-5) ]+ (-3 × -3 + -5 × -5)

⇒ (-3) * (-5) = 15 + (9 + 25)

⇒ (-3) * (-5) = 15 + 9 + 25

⇒ (-3) * (-5) = 49

Thus, the answer is 49.

(ii). We have (-6) * 2.

Put a = -6 and b = 2 in equation (i), we get

(-6) * 2 = [ (-6) × 2 ] + (-6 × -6 + 2 × 2)

⇒ (-6) * 2 = -12 + (36 + 4)

⇒ (-6) * 2 = -12 + 40

⇒ (-6) * 2 = 28

Thus, the answer is 28.