This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The difference of two cubes formula is: a^3 - b^3 = (a-b)(a^2+ab+b^2) For example, if we have x^3 - 8: Step 1: Identify a and b. Here, a=x and b=2 (since 2^3=8). Step 2: Substitute a=x and b=2 into the formula. x^3 - 2^3 = (x-2)(x^2 + x · 2 + 2^2) Step 3: Simplify the expression. x^3 - 8 = (x-2)(x^2 + 2x + 4) The formula for the difference of two cubes is a^3 - b^3 = (a-b)(a^2+ab+b^2).