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Mathematics 18 Online
OpenStudy (anonymous):

x^2 + 25

OpenStudy (anonymous):

options are (x + 5)(x + 5) (x + 5)(x − 5) (x − 5)(x − 5) Prime I'm confused about the signs

OpenStudy (mathstudent55):

This is a factoring problem, right?

OpenStudy (raden):

x^2 + 25, this cant be factored. it means, prime right ?

OpenStudy (anonymous):

so when you add 2 squares it's prime

OpenStudy (mathstudent55):

Correct. The sum of two squares is prime. The difference of two squares is the product of a sum and a difference.

OpenStudy (mathstudent55):

Perhaps you haven't done it yet, but when you do cubes, then both the sum and the difference of two cubes are factorable.

OpenStudy (anonymous):

Ooh I get it now thx

OpenStudy (mathstudent55):

The difference of two squares factors into the product of a sum and a difference. \(a^2 - b^2 = (a + b)(a - b) \) The sum of two squares is prime. \(a^2 + b^2 \) The sum and difference of two cubes are both factorable: \(a^3 + b^3 = (a + b)(a^2 - ab + b^2) \) \(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\)

OpenStudy (mathstudent55):

Wlcm

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