Evaluate 68²-42²
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Step-by-step explanation:
We know the algebraic identity:
x² - y² = ( x + y )( x - y )
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Here ,
x = 68 , y = 42
( 68² - 42² ) /26²
=[ (68 + 42)(68 - 42)] / 26²
= ( 110 × 26 ) / ( 26 × 26 )
= 110 / 26
= ( 2 × 55 ) / ( 2 × 13 )
= 55/13
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