Question

evaluate the following by using factors (99.9)^2-(0.1)^2

Answer 1

a^2 - b^2 = (a - b) (a + b)

= (99.9 - 0.1) (99.9 + 0.1)

= 99.8 × 100

= 9980

Answer 2

$(99.9)^2-(0.1)^2=9980$

Step-by-step explanation:

Given : Expression $(99.9)^2-(0.1)^2$

To find : Evaluate the following by using factors ?

Solution :

Using algebraic identity,

$a^2-b^2=(a+b)(a-b)$

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, $(99.9)^2-(0.1)^2=9980$

#Learn more

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