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Solve the following. ((28.4)2−(24.4)2)(28.4−24.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))}(28.4−24.4))((28.4)2−(24.4)2)​​= ?
Question

Solve the following.
((28.4)2(24.4)2)(28.424.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))}​= ?

A.

52

B.

8

C.

52.8

D.

4

Correct option is C

Given:

((28.4)2(24.4)2)(28.424.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))} 

Formula Used:

a2b2=(a+b)(ab)a^2 -b^2=(a+b)(a-b) 

Solution:

((28.4)2(24.4)2)(28.424.4))\frac{((28.4)^2-(24.4)^2)}{(28.4-24.4))}

By using formula a2b2=(a+b)(ab)a^2 -b^2=(a+b)(a-b)

​​((28.424.4)(28.4+24.4)(28.424.4))\frac{((28.4-24.4)(28.4+24.4)}{(28.4-24.4))}  =28.4+24.4=52.8​

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