Simplify : (i) 896 x 896 - 204 x 204 (ii) 387 x 387 + 114 x 114 + 2 x 387 x
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Answered by
4
Solution :
i ) 896 × 896 - 204 × 204
= ( 896 )² - ( 204 )²
= ( 896 + 204 )( 896 - 204 )
[ Since , a²-b² = (a+b)(a-b) ]
= 1100 × 692
= 761200
____________________
ii ) 387×387+114×114+2×387×114
= ( 387 )² + ( 114 )² + 2×387×114
= ( 387 + 114 )²
[ Since , (a+b)²=a²+b²+2ab ]
= 501²
= ( 500 + 1 )²
= 500² + 1² + 2×500×1
= 250000 + 1 + 1000
= 251001
•••••
Answered by
16
Hey !!
(1) 896 × 896 - 204 × 204
=> (896)² - (204)²
=> ( 896 + 204 ) ( 896 - 204 ) [ a² - b² = ( a + b )(a-b) ]
=> ( 1100 ) - ( 692 )
=> 408.
(2) 387 × 387 + 114 × 114 + 2 × 387 × 114
=> (387)² + (114)² + 2 × 387 × 114
=> ( 387 + 114 )² [ a² + b² + 2ab = (a+b)² ]
=> ( 501)²
=> 251001
(1) 896 × 896 - 204 × 204
=> (896)² - (204)²
=> ( 896 + 204 ) ( 896 - 204 ) [ a² - b² = ( a + b )(a-b) ]
=> ( 1100 ) - ( 692 )
=> 408.
(2) 387 × 387 + 114 × 114 + 2 × 387 × 114
=> (387)² + (114)² + 2 × 387 × 114
=> ( 387 + 114 )² [ a² + b² + 2ab = (a+b)² ]
=> ( 501)²
=> 251001
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