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Simplify: (423×423-325×325)/(423-325)
Question

Simplify: (423×423-325×325)/(423-325)

A.

748

B.

487

C.

478

D.

874

Correct option is A

Given:

423×423325×325423325 \frac{423×423−325×325}{423−325}​

Formula used:

a2b2=(ab)(a+b)a^2 −b^2 =(a−b)(a+b)

Solution:

Here, = 423 and = 325 So, the expression becomes:

(423325)(423+325)423325 \frac{(423−325)(423+325)}{423−325}​

98×(423+325)98\frac{98×(423+325)}{98}​

= 423 + 325

= 748

Thus, correct option is (a)

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