Factor completely. x^(6)-100y^(2) Answer:

Recognize Form: Recognize the form of the expression. The expression x^(6) - 100y^(2) is a difference of squares because it can be written as (x^(3))^2 - (10y)^2.Apply Formula: Apply the difference of squares formula. The difference of squares formula is a^2 - b^2 = (a + b)(a - b). Here, a = x^3 and b = 10y. (x^(6) - 100y^(2)) = (x^3 + 10y)(x^3 - 10y)Check Factorization: Check if further factorization is possible. Both x^3 + 10y and x^3 - 10y are not further factorizable using real numbers since x^3 and 10y do not have any common factors and neither term is a difference of squares.

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Factor completely.

x^(6)-100y^(2)
Answer:

Factor completely. $\newline$ $x^{6}-100 y^{2}$ $\newline$ Answer:

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Q. Factor completely.

\newline

x^{6}-100 y^{2}

\newline

Answer:

Recognize Form: Recognize the form of the expression. $\newline$ The expression $x^{6} - 100y^{2}$ is a difference of squares because it can be written as $(x^{3})^{2} - (10y)^{2}$ .
Apply Formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a + b)(a - b)$ . Here, $a = x^3$ and $b = 10y$ . $\newline$ $(x^{6} - 100y^{2}) = (x^3 + 10y)(x^3 - 10y)$
Check Factorization: Check if further factorization is possible. $\newline$ Both $x^3 + 10y$ and $x^3 - 10y$ are not further factorizable using real numbers since $x^3$ and $10y$ do not have any common factors and neither term is a difference of squares.