Factor completely. 1-x^(6)y^(4) Answer:

Recognize squares: Recognize the expression as a difference of squares. The given expression is 1 - x^(6)y^(4). We can see that both 1 and x^(6)y^(4) are perfect squares because 1 is the square of 1 and x^(6)y^(4) is the square of x^(3)y^(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^2 is 1 and b^2 is x^(6)y^(4), so a is 1 and b is x^(3)y^(2).Factor expression: Factor the expression using the difference of squares formula. Using the values of a and b from Step 2, we get: 1 - x^(6)y^(4) = (1 - x^(3)y^(2))(1 + x^(3)y^(2))Check further factorization: Check for any further factorization. Both factors (1 - x^(3)y^(2)) and (1 + x^(3)y^(2)) cannot be factored further using real numbers, as they are not differences or sums of squares or any other factorable form.

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Factor completely.

1-x^(6)y^(4)
Answer:

Factor completely. $\newline$ $1-x^{6} y^{4}$ $\newline$ Answer:

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Algebra 2

Composition of linear and quadratic functions: find a value

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Q. Factor completely.

\newline

1-x^{6} y^{4}

\newline

Answer:

Recognize squares: Recognize the expression as a difference of squares. $\newline$ The given expression is $1 - x^{6}y^{4}$ . We can see that both $1$ and $x^{6}y^{4}$ are perfect squares because $1$ is the square of $1$ and $x^{6}y^{4}$ is the square of $x^{3}y^{2}$ .
Apply formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ . Here, $a^2$ is $1$ and $b^2$ is $x^{6}y^{4}$ , so $a$ is $1$ and $b$ is $x^{3}y^{2}$ .
Factor expression: Factor the expression using the difference of squares formula. $\newline$ Using the values of $a$ and $b$ from Step $2$ , we get: $\newline$ $1 - x^{6}y^{4} = (1 - x^{3}y^{2})(1 + x^{3}y^{2})$
Check further factorization: Check for any further factorization. $\newline$ Both factors $(1 - x^{3}y^{2})$ and $(1 + x^{3}y^{2})$ cannot be factored further using real numbers, as they are not differences or sums of squares or any other factorable form.