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Evaluate (4.7)2−(1.3)2)4.7−1.3 \frac{(4.7)^2 -(1.3)^2)}{4.7-1.3}4.7−1.3(4.7)2−(1.3)2)​​​
Question

Evaluate (4.7)2(1.3)2)4.71.3 \frac{(4.7)^2 -(1.3)^2)}{4.7-1.3}​​

A.

​5​

B.

3

C.

4

D.

6

Correct option is D

Given:

(4.7)2(1.3)2)4.71.3\frac{(4.7)^2 -(1.3)^2)}{4.7-1.3}​​

Formula Used:

(a)2(b)2=(a+b)(ab)(a)^{2} -(b)^2= (a+b)(a-b)​​

Solution:

(4.7)2(1.3)2)4.71.3\frac{(4.7)^2 -(1.3)^2)}{4.7-1.3}​​

=(4.71.3)(4.7+1.3)4.71.3=\frac{(4.7-1.3)(4.7+1.3)}{4.7-1.3}​​

=4.7+1.3= 4.7+1.3​​

= 6

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