Algebra Examples

Subtract $- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$

Step 1

Write the problem as a mathematical expression.

$8 x^{2} + x - 10 - (- 5 x^{2} + 7 x + 1)$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$8 x^{2} + x - 10 - (- 5 x^{2}) - (7 x) - 1 \cdot 1$

Step 2.2

Simplify.

Tap for more steps...

Step 2.2.1

Multiply $- 5$ by $- 1$ .

$8 x^{2} + x - 10 + 5 x^{2} - (7 x) - 1 \cdot 1$

Step 2.2.2

Multiply $7$ by $- 1$ .

$8 x^{2} + x - 10 + 5 x^{2} - 7 x - 1 \cdot 1$

Step 2.2.3

Multiply $- 1$ by $1$ .

$8 x^{2} + x - 10 + 5 x^{2} - 7 x - 1$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Add $8 x^{2}$ and $5 x^{2}$ .

$13 x^{2} + x - 10 - 7 x - 1$

Step 3.2

Subtract $7 x$ from $x$ .

$13 x^{2} - 6 x - 10 - 1$

Step 3.3

Subtract $1$ from $- 10$ .

$13 x^{2} - 6 x - 11$