Question

Factor x^10 - y^2. Please I need help.

Answer 1

It factors into (x^5+y)(x^5−y).

Answer 2

Answer:

$x^{10} -y^{2} = (x^{5} -y)(x^{5} +y)$

Step-by-step explanation:

Factoring a polynomial involves writing it as a product of two or more polynomials. It is the opposite of the polynomial multiplication process.

There is a way to perform the factorization of this type of polynomials, called "difference of squares".

The difference in squares has the following pattern

$a^{2} -b^{2} = (a+b)(a-b)$

If we have a two-term polynomial in the form of a subtraction, where both terms have perfect square roots, then we can apply the difference of square.

It is necessary to find the square root of each term, and then replace it in the form of multiplications with inverse signs.