Using identity: (x + a)(x + b) = x2 + (a + b)x + ab 103 × 104 = (100 + 3)(100 + 4) nbsp; nbsp;[x =100, a = 3, b =4] nbsp; nbsp; nbsp; nbsp; ...

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Applying Difference of Squares as a Product of Its Sum and Difference

Evaluate: 103...

Question

Evaluate: 103 × 104

10,712

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10,812

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10,512

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10,612

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Solution

The correct option is A
10,712

Using identity: (x + a)(x + b) = x $^{2}$ + (a + b)x + ab

103 × 104 = (100 + 3)(100 + 4) [x =100, a = 3, b =4]

= (100) $^{2}$ + (3 + 4)100 + 3 $\times$ 4

= 10000 + 700 + 12

= 10712.

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Similar questions

2.3 \times 10^{4}

3 \times 10^{3}

Evaluate the following products without multiplying directly:
(i) $103 \times 107$
(ii) $95 \times 96$
(iii) $104 \times 96$

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Using suitable identity evaluate (103) *[103]*[103]

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