Simplify (3x^2+5x-4)-(2x^2-7x-1)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $2$ by $- 1$ .

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

Multiply $- 7$ by $- 1$ .

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

Multiply $- 1$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

Subtract $2 x^{2}$ from $3 x^{2}$ .

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

Add $5 x$ and $7 x$ .

$x^{2} + 12 x - 4 + 1$

Add $- 4$ and $1$ .

$x^{2} + 12 x - 3$

$x^{2} + 12 x - 3$

Related Questions