Question

evaluate the following products without multiply directly
i)104×96

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Answer 1

104×96

(100+4)(100-4)

We know that (a+b)(a-b)=a²-b²

(100)²-(4)²

10000-16

=9984

Answer 2

Question :–

Evaluate the following products without multiply directly :-

i) 104 × 96

Solution :–

(100 + 4) × (100 - 4)

Indentity Used :-

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

Where,

$x = 100 \: a = 4 \: b = - 4$

$\implies \: {(100)}^{2} + (4 + ( - 4))(100) + (4)( - 4)$

$\implies 10,000 + (4 - 4)(100) + (- 16)$

$\implies 10,000 + (0)(100) - 16$

$\implies 10,000 + 0 - 16$

$\implies 10,000 - 16$

$\implies 9,984$