State if the statement given below is true or false.The polynomial expression 25 a 2 −4 b 2 +28bc−49 c 2 , is equivalent to the product 5a−2b+7c 5a+2b−7c .

# State if the statement given below is true or false.The polynomial expression , is equivalent to the product .

1. A
True
2. B
False

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### Solution:

A statement is given that the algebraic expression is , and is equivalent to .
The algebraic expression can be regrouped as follows,
Now, we know about the following identity, .
Using this, we can rewrite the expression as follows,

It can be observed that the above expression is of the general form , where and .
To factorize this expression, we can use the identity . So, using the identity, the expression , can be written as follows,

So, it can be observed that .
Hence, the given statement is true.

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