Question

solve it quickly with step by step explanation ​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(99.9)² (0.1)² = 9980 –

Step-by-step explanation:

Given : Expression (99.9)²

– (0.1)²

To find : Evaluate the following by using factors ?

Solution :

Using algebraic identity,

a²b² =

(a + b)(a − b)

-

In the expression (99.9)² – (0.1)²,

Here, a=99.9 and b=0.1

Substitute the value,

(99.9)² – (0.1)² = (99.9+0.1)(99.9 – 0.1)

(99.9)² – (0.1)² = (100) (99.8)

(99.9)2 (0.1)² = 9980

Therefore, (99.9)² – (0.1)² = 9980

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