Factor the polynomials. x^{2}-25

PEEWSRIGWETRYqx

PEEWSRIGWETRYqx

Answered question

2021-12-29

Factor the polynomials.
x225

Answer & Explanation

Dabanka4v

Dabanka4v

Beginner2021-12-30Added 36 answers

Consider the given polynomial:
x225
=x252
Using the identity a2b2=(a+b)(ab), we get,
=(x+5)(x-5)
Hence, the given polynomial is factorised as:
x225=(x+5)(x5)
Neil Dismukes

Neil Dismukes

Beginner2021-12-31Added 37 answers

Formula for the difference of squares is:
a2b2=(ab)(a+b)
Let us factor the given polynomial:
=(x-5)(x+5) We used the formula for the difference of squares.
We have x2 and 52=25
Result:
Factored expression is (x-5)(x+5)
Vasquez

Vasquez

Expert2022-01-09Added 669 answers

The given is a difference of two squares so we can factor it using:
a2b2=(a+b)(ab)
Here, a=x and b=5 so:
x225=(x+5)(x5)
Result:
(x+5)(x-5)

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