Algebra Examples

$3 \sqrt{x y} - \sqrt{9 x y}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $9 x y$ as $3^{2} (x y)$ .

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Step 1.1.1

Rewrite $9$ as $3^{2}$ .

$3 \sqrt{x y} - \sqrt{3^{2} x y}$

Step 1.1.2

Add parentheses.

$3 \sqrt{x y} - \sqrt{3^{2} (x y)}$

$3 \sqrt{x y} - \sqrt{3^{2} (x y)}$

Step 1.2

Pull terms out from under the radical.

$3 \sqrt{x y} - (3 \sqrt{x y})$

Step 1.3

Multiply $3$ by $- 1$ .

$3 \sqrt{x y} - 3 \sqrt{x y}$

$3 \sqrt{x y} - 3 \sqrt{x y}$

Step 2

Subtract $3 \sqrt{x y}$ from $3 \sqrt{x y}$ .

$0$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$