Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor completely.

9x^(2)-16
Answer:

Factor completely.\newline9x216 9 x^{2}-16 \newlineAnswer:

Full solution

Q. Factor completely.\newline9x216 9 x^{2}-16 \newlineAnswer:
  1. Identify Expression Type: Identify the type of expression; 9x2169x^{2}-16 is a difference of squares because it's in the form a2b2a^2 - b^2 where aa is 3x3x and bb is 44.
  2. Find Square Roots: Find the square roots of the first and last terms; the square root of 9x29x^{2} is 3x3x and the square root of 1616 is 44.
  3. Write Factored Form: Write the factored form using the difference of squares formula, which is (a+b)(ab)(a + b)(a - b); so it's (3x+4)(3x4)(3x + 4)(3x - 4).