Simplify the expression: 2x(-3x + 4) - x(6 - x)

May 8, 2026Mathematics

ScanSolve AI Answer

May 8, 2026

Answer

$-5x^2 + 2x$

Welcome back Charmaine — missed you this week.

Step 1: Distribute $2x$ into the first set of parentheses and $-x$ into the second set of parentheses. $2x(-3x + 4) - x(6 - x) = (2x \cdot -3x) + (2x \cdot 4) - (x \cdot 6) - (x \cdot -x)$ $= -6x^2 + 8x - 6x + x^2$

Step 2: Combine like terms. $(-6x^2 + x^2) + (8x - 6x)$ $= -5x^2 + 2x$

The simplified expression is $\boxed{-5x^2 + 2x}$ .

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Quick Answer

Welcome back Charmaine — missed you this week. Step 1: Distribute 2x into the first set of parentheses and -x into the second set of parentheses.

Asked on May 8, 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 8, 2026

Welcome back Charmaine — missed you this week. Step 1: Distribute 2x into the first set of parentheses and -x into the second set of parentheses. 2x(-3x + 4) - x(6 - x) = (2x · -3x) + (2x · 4) - (x · 6) - (x · -x) = -6x^2 + 8x - 6x + x^2 Step 2: Combine like terms. (-6x^2 + x^2) + (8x - 6x) = -5x^2 + 2x The simplified expression is -5x^2 + 2x. Send me the next one 📸