Questions: Factor the following binomial completely. 64-x^2 Select the correct choice below and, if necessary, fill in the answer box to com A. 64-x^2= (Factor completely.) B. The polynomial is prime.

Factor the following binomial completely.
64-x^2

Select the correct choice below and, if necessary, fill in the answer box to com
A. 64-x^2= (Factor completely.)
B. The polynomial is prime.

Transcript text: Factor the following binomial completely. \[ 64-x^{2} \] Select the correct choice below and, if necessary, fill in the answer box to com A. $64-x^{2}=$ $\square$ (Factor completely.) B. The polynomial is prime.

Solution

Solution Steps

Step 1: Identify the Form

The given expression is in the form of $a^2 - b^2$, where $a = 8$ and $b = x$.

Step 2: Apply the Difference of Squares Formula

The difference of squares formula states that $a^2 - b^2 = (a + b)(a - b)$.

Step 3: Substitute $a$ and $b$ into the Formula

Substituting $a = 8$ and $b = x$ into the formula gives us $a^2 - b^2 = (8 + x)(8 - x)$.

Final Answer:

The factorized form of $a^2 - b^2$ is $ (8 + x)(8 - x) $.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!