Basic Math Examples

$18 x^{5} \sqrt{x} - 4 \sqrt{x^{11}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $x^{11}$ as ${(x^{5})}^{2} x$ .

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Step 1.1.1

Factor out $x^{10}$ .

$18 x^{5} \sqrt{x} - 4 \sqrt{x^{10} x}$

Step 1.1.2

Rewrite $x^{10}$ as ${(x^{5})}^{2}$ .

$18 x^{5} \sqrt{x} - 4 \sqrt{{(x^{5})}^{2} x}$

Step 1.2

Pull terms out from under the radical.

$18 x^{5} \sqrt{x} - 4 x^{5} \sqrt{x}$

Step 2

Subtract $4 x^{5} \sqrt{x}$ from $18 x^{5} \sqrt{x}$ .

$14 x^{5} \sqrt{x}$