Calculus Examples

(x^{2} - 3) (\sqrt{x - 3}) (4)

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

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

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

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

Step 1.2

Apply the distributive property.

x^{2} \sqrt{x - 3} \cdot 4 - 3 \sqrt{x - 3} \cdot 4

$x^{2} \sqrt{x - 3} \cdot 4 - 3 \sqrt{x - 3} \cdot 4$

Step 1.3

Simplify the expression.

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Step 1.3.1

Move

4

$4$ to the left of

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

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

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

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

Step 1.3.2

Multiply

4

$4$ by

- 3

$- 3$ .

4 \cdot (x^{2} \sqrt{x - 3}) - 12 \sqrt{x - 3}

$4 \cdot (x^{2} \sqrt{x - 3}) - 12 \sqrt{x - 3}$

4 \cdot (x^{2} \sqrt{x - 3}) - 12 \sqrt{x - 3}

$4 \cdot (x^{2} \sqrt{x - 3}) - 12 \sqrt{x - 3}$

4 \cdot (x^{2} \sqrt{x - 3}) - 12 \sqrt{x - 3}

$4 \cdot (x^{2} \sqrt{x - 3}) - 12 \sqrt{x - 3}$

Step 2

Remove parentheses.

4 x^{2} \sqrt{x - 3} - 12 \sqrt{x - 3}

$4 x^{2} \sqrt{x - 3} - 12 \sqrt{x - 3}$