Use the difference-of-squares pattern to factor each of the following.

Arthur Pratt

Arthur Pratt

Answered question

2021-12-11

Use the difference-of-squares pattern to factor each of the following. 25x2y236

Answer & Explanation

Serita Dewitt

Serita Dewitt

Beginner2021-12-12Added 41 answers

Step 1
The algebraic expression is:
25x2y236
Both the terms in the above expression are in the form of perfect squares.
Therefore the given expression is in the form of difference-of-squares pattern.
Step 2
We use the identity:
a2b2=(a+b)(ab)...(1)
Then we get,
25x2y236
=(5xy)2(6)2
=(5xy+6)(5xy-6); (using identity (1))
Hence is the required factorization.

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