Question

Evaluate the following product without multiplying directly.

(1) 104 × 96

Answer 1

Answer:-

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=> no copied.

Answer 2

Answer:

9984

Step-by-step explanation:

We can write 104 as (100 + 4).

We can write 96 as (100 - 4).

∴ 104 × 96

⇒ (100 + 4)(100 - 4)

If you look closely, the given expression is in the form

$(a + b)(a - b) = (a^{2} - b^{2})$.

∴ (100 + 4)(100 - 4)

= $(100^{2} - 4^{2})$

= 10000 - 16

= 9984