Evaluate the following product without multiplying directly.
(1) 104 × 96
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Evaluate the following product without multiplying directly.
(1) 104 × 96
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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
[tex](a + b)(a - b) = (a^{2} - b^{2})[/tex].
∴ (100 + 4)(100 - 4)
= [tex](100^{2} - 4^{2})[/tex]
= 10000 - 16
= 9984