Question

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How to find perfect squares by prime factorization method.
Verified answer needed:-​

Answer 1

Answer:

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apka Answer

When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b).

Answer 2

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To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square: Step I: Resolve the given number into prime factors. Step II: Make pairs of similar factors. Step III: Take the product of prime factors, choosing one factor out of every pair.

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