Simplify the expression: (3x^(2)-3y)(sqrt3)/(2)

Distribute sqrt(3): First, distribute the sqrt(3) to both terms in the parenthesis. (3x^(2) * sqrt(3) - 3y * sqrt(3)) / 2Split into two fractions: Now, split the fraction into two separate fractions. (3x^(2) * sqrt(3))/2 - (3y * sqrt(3))/2Simplify each term: Simplify each term separately. (3/2)x^(2) * sqrt(3) - (3/2)y * sqrt(3)Write final expression: Write the final simplified expression. (3sqrt(3)/2)x^(2) - (3sqrt(3)/2)y

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Math Problems

Algebra 1

Simplify radical expressions involving fractions

Full solution

Q. Simplify the expression:

({3x^{2}-3y})

\frac{\sqrt3}{2}

Distribute $\sqrt{3}$ : First, distribute the $\sqrt{3}$ to both terms in the parenthesis. $\frac{(3x^{2} \cdot \sqrt{3} - 3y \cdot \sqrt{3})}{2}$
Split into two fractions: Now, split the fractions" target="_blank" class="backlink">fraction into two separate fractions. $\newline$ $(\frac{3x^{2} \sqrt{3}}{2}) - (\frac{3y \sqrt{3}}{2})$
Simplify each term: Simplify each term separately. $\frac{3}{2}x^{2} \cdot \sqrt{3} - \frac{3}{2}y \cdot \sqrt{3}$
Write final expression: Write the final simplified expression. $\newline$ $(\frac{3\sqrt{3}}{2})x^{2} - (\frac{3\sqrt{3}}{2})y$