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Chapter 8: Q. 8.29 (page 796)

Simplify
(4+57)(4-57).

Short Answer

Expert verified

The value is-159.

Step by step solution

01

Step 1. Given and explanation

We have (4+57)(4-57).

We can identify the property of product of conjugates, i.e., (a+b)(a-b).

We know that (a+b)(a-b)=(a)2-(b)2.

By applying it, we will get the value.

02

Step 2. Simplifying and evaluating value.

We have (4+57)(4-57).

Applying the property (a+b)(a-b)will give us,

role="math" localid="1644767098828" =(4+57)(4-57)=(4)2-(57)2=16-175=-159

Thus we get the value as-159.

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