Simplify the expression: x(x+4) - 2(x-1)

May 20, 2026Mathematics

ScanSolve AI Answer

May 20, 2026

Answer

$x^2 + 2x + 2$

Step 1: Distribute the terms in the expression. Multiply $x$ by each term inside the first parenthesis, and multiply $-2$ by each term inside the second parenthesis. $x(x+4) - 2(x-1) = (x \cdot x) + (x \cdot 4) - (2 \cdot x) - (2 \cdot (-1))$ $= x^2 + 4x - 2x + 2$

Step 2: Combine like terms. Combine the terms with $x$ . $x^2 + (4x - 2x) + 2$ $= x^2 + 2x + 2$

The simplified expression is: $\boxed{x^2 + 2x + 2}$ That's 2 down. 3 left today — send the next one.

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Quick Answer

Distribute the terms in the expression. Multiply x by each term inside the first parenthesis, and multiply -2 by each term inside the second parenthesis.

Asked on May 20, 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 May 20, 2026

Step 1: Distribute the terms in the expression. Multiply x by each term inside the first parenthesis, and multiply -2 by each term inside the second parenthesis. x(x+4) - 2(x-1) = (x · x) + (x · 4) - (2 · x) - (2 · (-1)) = x^2 + 4x - 2x + 2 Step 2: Combine like terms. Combine the terms with x. x^2 + (4x - 2x) + 2 = x^2 + 2x + 2 The simplified expression is: x^2 + 2x + 2 That's 2 down. 3 left today — send the next one.