Algebra Examples

$(5 x^{2} + 3 x + 4) - (2 x^{2} + 1) - (7 x + 3)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$5 x^{2} + 3 x + 4 - (2 x^{2}) - 1 \cdot 1 - (7 x + 3)$

Step 1.2

Multiply $2$ by $- 1$ .

$5 x^{2} + 3 x + 4 - 2 x^{2} - 1 \cdot 1 - (7 x + 3)$

Step 1.3

Multiply $- 1$ by $1$ .

$5 x^{2} + 3 x + 4 - 2 x^{2} - 1 - (7 x + 3)$

Step 1.4

Apply the distributive property.

$5 x^{2} + 3 x + 4 - 2 x^{2} - 1 - (7 x) - 1 \cdot 3$

Step 1.5

Multiply $7$ by $- 1$ .

$5 x^{2} + 3 x + 4 - 2 x^{2} - 1 - 7 x - 1 \cdot 3$

Step 1.6

Multiply $- 1$ by $3$ .

$5 x^{2} + 3 x + 4 - 2 x^{2} - 1 - 7 x - 3$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $2 x^{2}$ from $5 x^{2}$ .

$3 x^{2} + 3 x + 4 - 1 - 7 x - 3$

Step 2.2

Subtract $7 x$ from $3 x$ .

$3 x^{2} - 4 x + 4 - 1 - 3$

Step 2.3

Subtract $1$ from $4$ .

$3 x^{2} - 4 x + 3 - 3$

Step 2.4

Combine the opposite terms in $3 x^{2} - 4 x + 3 - 3$ .

Tap for more steps...

Step 2.4.1

Subtract $3$ from $3$ .

$3 x^{2} - 4 x + 0$

Step 2.4.2

Add $3 x^{2} - 4 x$ and $0$ .

$3 x^{2} - 4 x$