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Chapter 6: Q 181 (page 603)

In the following exercises, factor completely using the difference of squares pattern, if possible.
24p2+54

Short Answer

Expert verified

The complete factor of trinomial is not possible.

Step by step solution

01

Step 1. Given information

Consider the given trinomial.

24p2+54

02

Step 2. Find the factor using difference of square pattern.

Check if the given trinomial is a difference.

As there is a plus sign between the terms, it is not a difference.

Check if the first term of trinomial is a perfect square.

The first term is 24p2and it is not a perfect square.

Check if the last term of the trinomial is a perfect square.

The last term is 54and it is not perfect square.

Since, given trinomial is not a difference and first and last terms are not a perfect squares, it cannot be factroized completely.

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