Factor completely. 16-x^(2) Answer:

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the product of a sum and difference. Step Calculation: Recognize that 16 is a perfect square (4^2) and x^2 is also a perfect square. The expression 16 - x^2 can be written as (4)^2 - (x)^2.Apply Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the difference of squares factoring formula, which states that a^2 - b^2 = (a + b)(a - b). Step Calculation: Apply the formula to the expression (4)^2 - (x)^2 to get (4 + x)(4 - x).

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor completely.

\newline

16-x^{2}

\newline

Answer:

Recognize Difference of Squares: Step Title: Recognize the Difference of Squares $\newline$ Concise Step Description: Identify that the expression is a difference of squares, which can be factored into the product of a sum and difference. $\newline$ Step Calculation: Recognize that $16$ is a perfect square $(4^2)$ and $x^2$ is also a perfect square. The expression $16 - x^2$ can be written as $(4)^2 - (x)^2$ .
Apply Squares Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares factoring formula, which states that $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Step Calculation: Apply the formula to the expression $(4)^2 - (x)^2$ to get $(4 + x)(4 - x)$ .