FOIL

Algebra Level 1

Evaluate

( 123 + 3 ) ( 123 + 195 ) 123 × 321. (123 + 3) ( 123 + 195) - 123 \times 321.


The answer is 585.

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1 solution

Arron Kau Staff
May 13, 2014

Observe that 123 + 3 + 195 = 321 123 + 3 + 195 = 321 .

Hence ( 123 + 3 ) ( 123 + 195 ) 123 × 321 = 123 ( 123 + 3 + 195 321 ) + 3 × 195 = 585 (123 + 3)(123 + 195) - 123 \times 321 = 123 ( 123 + 3 + 195 - 321 ) + 3 \times 195 = 585 .

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