Factor completely. 12-3x^(10) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 12 - 3x^(10). The GCF of 12 and 3x^(10) is 3.Factor out GCF: Factor out the GCF from the expression. The expression 12 - 3x^(10) can be written as 3(4) - 3(x^(10)). Factoring out the GCF, we get 3(4 - x^(10)).Recognize difference of squares: Recognize that the expression inside the parentheses is a difference of squares. The expression 4 - x^(10) can be written as (2^2) - (x^5)^2, which is a difference of squares.Apply formula: Apply the difference of squares formula. The difference of squares formula is a^2 - b^2 = (a + b)(a - b). Using this formula, we can factor 4 - x^(10) as (2 + x^5)(2 - x^5).Write final factored form: Write the final factored form of the original expression. Combining the GCF with the factored form of the difference of squares, we get the final factored form: 3(2 + x^5)(2 - x^5).

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Q. Factor completely.

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12-3 x^{10}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $12 - 3x^{10}$ . The GCF of $12$ and $3x^{10}$ is $3$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ The expression $12 - 3x^{10}$ can be written as $3(4) - 3(x^{10})$ . $\newline$ Factoring out the GCF, we get $3(4 - x^{10})$ .
Recognize difference of squares: Recognize that the expression inside the parentheses is a difference of squares. $\newline$ The expression $4 - x^{10}$ can be written as $(2^2) - (x^5)^2$ , which is a difference of squares.
Apply formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Using this formula, we can factor $4 - x^{10}$ as $(2 + x^5)(2 - x^5)$ .
Write final factored form: Write the final factored form of the original expression. Combining the GCF with the factored form of the difference of squares, we get the final factored form: $3(2 + x^5)(2 - x^5)$ .