Find:i) 922 – 82ii) 9842 – 162

1.	Find:i) 922 – 82ii) 9842 – 162
Answer» i) 92² – 8² is in the form of a² – b² = (a + b) (a – b). 92² – 8² = (92 + 8)(92 – 8) = 100 × 84 = 8400 ii) 9842 – 162 = (984 + 16) (984 – 16) = (1000) (968) [∵ (a + b)(a – b) = a² – b²] = 9,68,000

Answer»

i) 92² – 8² is in the form of

a² – b² = (a + b) (a – b).

92² – 8² = (92 + 8)(92 – 8)

= 100 × 84

= 8400

ii) 9842 – 162 = (984 + 16) (984 – 16)

= (1000) (968) [∵ (a + b)(a – b) = a² – b²]

= 9,68,000

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