I want the difference of 2 cubes

Mathematics

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Answer

a3b3=(ab)(a2+ab+b2)a^3 - b^3 = (a-b)(a^2+ab+b^2)

The difference of two cubes formula is:

a3b3=(ab)(a2+ab+b2)a^3 - b^3 = (a-b)(a^2+ab+b^2)

For example, if we have x38x^3 - 8: Step 1: Identify aa and bb. Here, a=xa=x and b=2b=2 (since 23=82^3=8). Step 2: Substitute a=xa=x and b=2b=2 into the formula. x323=(x2)(x2+x2+22)x^3 - 2^3 = (x-2)(x^2 + x \cdot 2 + 2^2) Step 3: Simplify the expression. x38=(x2)(x2+2x+4)x^3 - 8 = (x-2)(x^2 + 2x + 4)

The formula for the difference of two cubes is a3b3=(ab)(a2+ab+b2)\boxed{a^3 - b^3 = (a-b)(a^2+ab+b^2)}.

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