Algebra Examples

$\frac{3}{4} x^{2} y - \frac{8}{9} x y^{2}$

Step 1

Remove parentheses.

$\frac{3}{4} \cdot x^{2} y - \frac{8}{9} \cdot (x y^{2})$

Step 2

Remove parentheses.

$\frac{3}{4} \cdot x^{2} y - \frac{8}{9} \cdot x y^{2}$

Step 3

Factor $x y$ out of $\frac{3}{4} \cdot x^{2} y - \frac{8}{9} \cdot x y^{2}$ .

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Step 3.1

Factor $x y$ out of $\frac{3}{4} \cdot x^{2} y$ .

$x y (\frac{3}{4} \cdot x) - \frac{8}{9} \cdot x y^{2}$

Step 3.2

Factor $x y$ out of $- \frac{8}{9} \cdot x y^{2}$ .

$x y (\frac{3}{4} \cdot x) + x y (- \frac{8}{9} y)$

Step 3.3

Factor $x y$ out of $x y (\frac{3}{4} \cdot x) + x y (- \frac{8}{9} y)$ .

$x y (\frac{3}{4} \cdot x - \frac{8}{9} y)$

Step 4

Combine exponents.

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Step 4.1

Combine $\frac{3}{4}$ and $x$ .

$x y (\frac{3 x}{4} - \frac{8}{9} y)$

Step 4.2

Combine $y$ and $\frac{8}{9}$ .

$x y (\frac{3 x}{4} - \frac{y \cdot 8}{9})$

Step 5

Move $8$ to the left of $y$ .

$x y (\frac{3 x}{4} - \frac{8 \cdot y}{9})$

Step 6

Multiply $8$ by $y$ .

$x y (\frac{3 x}{4} - \frac{8 y}{9})$