Question
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Vad blir resultatet av \( x(x+3 y) \) ? \[ \begin{array}{l}x^{2}+3 x y \\ 2 x+3 x+x y \\ 2 x+3 x y \\ 2 x^{2}+3 x y\end{array} \]

Ask by Salazar Weston. in Sweden
Jan 23,2025

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Tutor-Verified Answer

Answer

Resultatet av \( x(x + 3y) \) är \( x^{2} + 3xy \).

Solution

Resultatet av \( x(x + 3y) \) är: \[ x^{2} + 3xy \] Alltså är det första alternativet korrekt.

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Beyond the Answer

När vi multiplicerar \( x(x + 3y) \) använder vi distributiva lagen. Det innebär att vi multiplicerar \( x \) med varje term inom parentesen: \[ x(x + 3y) = x \cdot x + x \cdot 3y = x^2 + 3xy. \] Således blir resultatet \( x^2 + 3xy \). Det korrekta svaret från alternativen är \( x^2 + 3xy \).

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