Finite Math Examples

$- \frac{3}{4} \cdot (x^{2} - 4 x + 4)$

Step 1

Apply the distributive property.

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

Step 2

Simplify.

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Step 2.1

Combine $x^{2}$ and $\frac{3}{4}$ .

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

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$- \frac{x^{2} \cdot 3}{4} + \frac{- 3}{4} (- 4 x) - \frac{3}{4} \cdot 4$

Step 2.2.2

Factor $4$ out of $- 4 x$ .

$- \frac{x^{2} \cdot 3}{4} + \frac{- 3}{4} (4 (- x)) - \frac{3}{4} \cdot 4$

Step 2.2.3

Cancel the common factor.

$- \frac{x^{2} \cdot 3}{4} + \frac{- 3}{4} (4 (- x)) - \frac{3}{4} \cdot 4$

Step 2.2.4

Rewrite the expression.

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

Step 2.3

Multiply $- 1$ by $- 3$ .

$- \frac{x^{2} \cdot 3}{4} + 3 x - \frac{3}{4} \cdot 4$

Step 2.4

Cancel the common factor of $4$ .

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Step 2.4.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$- \frac{x^{2} \cdot 3}{4} + 3 x + \frac{- 3}{4} \cdot 4$

Step 2.4.2

Cancel the common factor.

$- \frac{x^{2} \cdot 3}{4} + 3 x + \frac{- 3}{4} \cdot 4$

Step 2.4.3

Rewrite the expression.

$- \frac{x^{2} \cdot 3}{4} + 3 x - 3$

Step 3

Move $3$ to the left of $x^{2}$ .

$- \frac{3 x^{2}}{4} + 3 x - 3$