Mathematics

Evaluate (using factors) : 3012 x 300 - 3003

Factorisation

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Answer

3012 x 300 - 3003

= 300 x (3012 - 3002)

Using the formula

[∵ (x2 - y2) = (x + y)(x - y)]

= 300 x (301 - 300) x (301 + 300)

= 300 x 1 x 601

= 1,80,300

Hence, 3012 x 300 - 3003 = 1,80,300

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