Simplify the expression: y = x + 2(1/3x2 + 1/3x + 1/3)

April 19, 2026Mathematics

ScanSolve AI Answer

April 19, 2026

Answer

$y = \frac{2}{3}x^2 + \frac{5}{3}x + \frac{2}{3}$

Step 1: Distribute the $2$ into the terms inside the parenthesis. $y = x + 2\left(\frac{1}{3}x^2\right) + 2\left(\frac{1}{3}x\right) + 2\left(\frac{1}{3}\right)$ $y = x + \frac{2}{3}x^2 + \frac{2}{3}x + \frac{2}{3}$

Step 2: Combine the like terms. The terms with $x$ are $x$ and $\frac{2}{3}x$ . $y = \frac{2}{3}x^2 + \left(1 + \frac{2}{3}\right)x + \frac{2}{3}$ $y = \frac{2}{3}x^2 + \left(\frac{3}{3} + \frac{2}{3}\right)x + \frac{2}{3}$ $y = \frac{2}{3}x^2 + \frac{5}{3}x + \frac{2}{3}$

The simplified expression is: $y = \frac{2{3}x^2 + \frac{5}{3}x + \frac{2}{3}}$ Send me the next one 📸

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Quick Answer

Distribute the 2 into the terms inside the parenthesis. y = x + 2((1)/(3)x^2) + 2((1)/(3)x) + 2((1)/(3)) y = x + (2)/(3)x^2 + (2)/(3)x + (2)/(3) Step 2: Combine the like terms.

Asked on April 19, 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 April 19, 2026

Step 1: Distribute the 2 into the terms inside the parenthesis. y = x + 2((1)/(3)x^2) + 2((1)/(3)x) + 2((1)/(3)) y = x + (2)/(3)x^2 + (2)/(3)x + (2)/(3) Step 2: Combine the like terms. The terms with x are x and (2)/(3)x. y = (2)/(3)x^2 + (1 + (2)/(3))x + (2)/(3) y = (2)/(3)x^2 + ((3)/(3) + (2)/(3))x + (2)/(3) y = (2)/(3)x^2 + (5)/(3)x + (2)/(3) The simplified expression is: y = (2)/(3)x^2 + (5)/(3)x + (2)/(3) Send me the next one 📸