The correct option is option D: x²+25 is prime.
How to factorize the algebraic expression?
The algebraic expressions are factorized by taking common factors from the terms and using algebraic properties like a²-b²=(a+b)(a-b), (a+b)²=a²+2ab+b², etc.
The expression which can not be factorized is called prime i.e. unfactorizable.
Here x²+25 is unfactorizable so it is prime.
Also by checking each option
- (x + 5)(x + 5)=x²+10x+25≠x²+25 so this option is incorrect.
- (x + 5)(x − 5)=x²-25≠x²+25 so this option is incorrect.
- (x − 5)(x − 5)=x²-10x+25≠x²+25 so this option is incorrect.
- Prime: it is true as x²+25 is unfactorizable.
Therefore x²+25 is prime.
Learn more about factorization
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