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Algebra Level 1

What is the value of

1 2 2 2 × 12 × 13 + 1 3 2 ? 12^2 - 2 \times 12 \times 13 + 13 ^ 2 ?

1 1 1 -1 12 -12 12 12 0 0

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1 solution

Zach Abueg
Mar 17, 2017

Let x = 12 x = 12 and y = 13 y = 13 .

1 2 2 2 × 12 × 13 + 1 3 2 12^2 - 2 \times 12 \times 13 + 13^2

= x 2 2 x y + y 2 = x^2 - 2xy + y^2

= ( x y ) 2 = (x - y)^2

= ( 1 ) 2 = (- 1)^2

= 1 = 1

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