Pre-Algebra Examples

$24 x^{4} - 6 x^{3} + 2 x^{2} + 42 x - 48 \div 6 x^{2} + 3 x - 6$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$24 x^{4} - 6 x^{3} + 2 x^{2} + 42 x - \frac{48}{6 x^{2}} + 3 x - 6$

Step 1.2

Cancel the common factor of $48$ and $6$ .

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Step 1.2.1

Factor $6$ out of $48$ .

$24 x^{4} - 6 x^{3} + 2 x^{2} + 42 x - \frac{6 \cdot 8}{6 x^{2}} + 3 x - 6$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $6$ out of $6 x^{2}$ .

$24 x^{4} - 6 x^{3} + 2 x^{2} + 42 x - \frac{6 \cdot 8}{6 (x^{2})} + 3 x - 6$

Step 1.2.2.2

Cancel the common factor.

$24 x^{4} - 6 x^{3} + 2 x^{2} + 42 x - \frac{6 \cdot 8}{6 x^{2}} + 3 x - 6$

Step 1.2.2.3

Rewrite the expression.

$24 x^{4} - 6 x^{3} + 2 x^{2} + 42 x - \frac{8}{x^{2}} + 3 x - 6$

Step 2

Add $42 x$ and $3 x$ .

$24 x^{4} - 6 x^{3} + 2 x^{2} + 45 x - \frac{8}{x^{2}} - 6$