Question

68^2-42^2/26^2
Solve with out actual calculation

Answer 1

Hi ,

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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

I hope this helps you.

: )