Question

observe the following pattern:
2² -1¹=2+1
3²-2²=3+2
4²-3²=4+3
5²-4²=5+4

and find the value of :
(i) 100²-99²
(ii) 111²-109²
(iii)99²-96²​

Answer 1

Answer:

Applying the formula a² - b² = ( a + b ) ( a - b )

• 100² - 99² =( 100+99) (100-99) = 199 * 1 = 199
• 111² - 109² = (111 + 109)(111-109) =  220 * 2 = 440  
• 99² - 96² = ( 99 + 96 ) ( 99-96 ) = 195 * 3 = 585

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