Basic Math Examples

$4 y + 3 \div 4 y^{3} - 21 y^{2} - 42 y - 18$

Step 1

Regroup terms.

$- 18 + 4 y + 3 \div 4 y^{3} - 21 y^{2} - 42 y$

Step 2

Subtract $42 y$ from $4 y$ .

$- 18 - 38 y + 3 \div 4 y^{3} - 21 y^{2}$

Step 3

Factor $- 1$ out of $- 38 y + 3 \div 4 y^{3} - 21 y^{2}$ .

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Step 3.1

Reorder the expression.

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Step 3.1.1

Move $3 \div 4 y^{3}$ .

$- 18 - 38 y - 21 y^{2} + 3 \div 4 y^{3}$

Step 3.1.2

Reorder $- 38 y$ and $- 21 y^{2}$ .

$- 18 - 21 y^{2} - 38 y + 3 \div 4 y^{3}$

Step 3.2

Factor $- 1$ out of $- 21 y^{2}$ .

$- 18 - (21 y^{2}) - 38 y + 3 \div 4 y^{3}$

Step 3.3

Factor $- 1$ out of $- 38 y$ .

$- 18 - (21 y^{2}) - (38 y) + 3 \div 4 y^{3}$

Step 3.4

Factor $- 1$ out of $3 \div 4 y^{3}$ .

$- 18 - (21 y^{2}) - (38 y) - \frac{- 3}{4 y^{3}}$

Step 3.5

Factor $- 1$ out of $- (21 y^{2}) - (38 y)$ .

$- 18 - (21 y^{2} + 38 y) - \frac{- 3}{4 y^{3}}$

Step 3.6

Factor $- 1$ out of $- (21 y^{2} + 38 y) - \frac{- 3}{4 y^{3}}$ .

$- 18 - (21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$

Step 4

Factor $- 1$ out of $- 18 - (21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$ .

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Step 4.1

Rewrite $- 18$ as $- 1 (18)$ .

$- 1 (18) - (21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$

Step 4.2

Factor $- 1$ out of $- 1 (18) - (21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$ .

$- 1 (18 + 21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$

Step 4.3

Rewrite $- 1 (18 + 21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$ as $- (18 + 21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$ .

$- (18 + 21 y^{2} + 38 y + \frac{- 3}{4 y^{3}})$

Step 5

Reorder terms.

$- (21 y^{2} + 38 y + \frac{- 3}{4 y^{3}} + 18)$