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JAMB Mathematics 2022 Paper

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Question : 32

Total: 39

Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)

^2

, then find 3 * 5

223
232
32
-232

Solution:

Concept:

Substitute the given numbers into the binary operation rule and simplify.

Explanation:

The operation is defined as

a * b = a - b + (ab)^2

.

For

3 * 5

, substitute

a = 3

and

b = 5

:

3 * 5 = 3 - 5 + (3 \times 5)^2

.

First, compute the product inside the bracket:

3 \times 5 = 15

.

So,

3 * 5 = -2 + (15)^2

.

Since

(15)^2 = 225

, we have:

3 * 5 = -2 + 225 = 223

.

Answer:

223

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