Simplify the following using the formula: (a – b) (a + b) = a2 – b

1.	Simplify the following using the formula: (a – b) (a + b) = a2 – b2 : (9.8 × 10.2)
Answer» Given, 9.8 × 10.2 We can express 9.8 as 10 – 0.2 and 10.2 as 10 + 0.2 Using formula (a – b) (a + b) = a² – b² We get, 9.8 × 10.2 = (10 – 0.2) (10 + 0.2) = (10)² – (0.2)² = 100 – 0.04 = 99.96

Simplify the following using the formula: (a – b) (a + b) = a2 – b2 : (9.8 × 10.2)

Answer»

Given,

9.8 × 10.2

We can express 9.8 as 10 – 0.2 and 10.2 as 10 + 0.2

Using formula (a – b) (a + b) = a² – b²

We get,

9.8 × 10.2

= (10 – 0.2) (10 + 0.2)

= (10)² – (0.2)²

= 100 – 0.04

= 99.96

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