Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor completely.

x^(2)-49
Answer:

Factor completely.\newlinex249 x^{2}-49 \newlineAnswer:

Full solution

Q. Factor completely.\newlinex249 x^{2}-49 \newlineAnswer:
  1. Identify Expression Type: Step Title: Identify the Type of Expression\newlineConcise Step Description: Determine the type of algebraic expression to apply the appropriate factoring technique.\newlineStep Calculation: The expression x249x^2 - 49 is a difference of squares because it can be written as x272x^2 - 7^2.
  2. Apply Squares Formula: Step Title: Apply the Difference of Squares Formula\newlineConcise Step Description: Use the difference of squares factoring formula, which is a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b).\newlineStep Calculation: Applying the formula to x249x^2 - 49, we get (x+7)(x7)(x + 7)(x - 7).