Algebra Examples

$- \frac{3}{8} x^{3} + 7 + (- \frac{5}{8} x^{3}) + 1$

Step 1

Remove parentheses.

$- \frac{3}{8} x^{3} + 7 - \frac{5}{8} x^{3} + 1$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Combine $x^{3}$ and $\frac{3}{8}$ .

$- \frac{x^{3} \cdot 3}{8} + 7 - \frac{5}{8} x^{3} + 1$

Step 2.2

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

$- \frac{3 \cdot x^{3}}{8} + 7 - \frac{5}{8} x^{3} + 1$

Step 2.3

Combine $x^{3}$ and $\frac{5}{8}$ .

$- \frac{3 x^{3}}{8} + 7 - \frac{x^{3} \cdot 5}{8} + 1$

Step 2.4

Move $5$ to the left of $x^{3}$ .

$- \frac{3 x^{3}}{8} + 7 - \frac{5 x^{3}}{8} + 1$

Step 3

Simplify terms.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

$7 + 1 + \frac{- 3 x^{3} - 5 x^{3}}{8}$

Step 3.2

Subtract $5 x^{3}$ from $- 3 x^{3}$ .

$7 + 1 + \frac{- 8 x^{3}}{8}$

Step 3.3

Cancel the common factor of $- 8$ and $8$ .

Tap for more steps...

Step 3.3.1

Factor $8$ out of $- 8 x^{3}$ .

$7 + 1 + \frac{8 (- x^{3})}{8}$

Step 3.3.2

Cancel the common factors.

Tap for more steps...

Step 3.3.2.1

Factor $8$ out of $8$ .

$7 + 1 + \frac{8 (- x^{3})}{8 (1)}$

Step 3.3.2.2

Cancel the common factor.

$7 + 1 + \frac{8 (- x^{3})}{8 \cdot 1}$

Step 3.3.2.3

Rewrite the expression.

$7 + 1 + \frac{- x^{3}}{1}$

Step 3.3.2.4

Divide $- x^{3}$ by $1$ .

$7 + 1 - x^{3}$

Step 3.4

Add $7$ and $1$ .

$8 - x^{3}$