Expand the following: (a+b-c)3.

March 29, 2026Mathematics

ScanSolve AI Answer

March 29, 2026

Answer

X^3 - 3X^2Y + 3XY^2 - Y^3$.

6. Expand the following: $(a+b-c)^3$ .

Step 1: Group terms and apply the binomial expansion $(X-Y)^3 = X^3 - 3X^2Y + 3XY^2 - Y^3$ . Let $X = (a+b)$ and $Y = c$ . $(a+b-c)^3 = ((a+b)-c)^3$ $= (a+b)^3 - 3(a+b)^2c + 3(a+b)c^2 - c^3$

Step 2: Expand $(a+b)^3$ and $(a+b)^2$ .

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Asked on March 29, 2026Mathematics

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 AnswerAnswered on March 29, 2026

6. Expand the following: (a+b-c)^3. Step 1: Group terms and apply the binomial expansion (X-Y)^3 = X^3 - 3X^2Y + 3XY^2 - Y^3. Let X = (a+b) and Y = c. (a+b-c)^3 = ((a+b)-c)^3 = (a+b)^3 - 3(a+b)^2c + 3(a+b)c^2 - c^3 Step 2: Expand (a+b)^3 and (a+b)^2. (a+b)^3 = a^3 + 3