Simplify (2r^2+r-1)-(3r^2+4r-5)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $3$ by $- 1$ .

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

Multiply $4$ by $- 1$ .

$2 r^{2} + r - 1 - 3 r^{2} - 4 r - - 5$

Multiply $- 1$ by $- 5$ .

$2 r^{2} + r - 1 - 3 r^{2} - 4 r + 5$

$2 r^{2} + r - 1 - 3 r^{2} - 4 r + 5$

$2 r^{2} + r - 1 - 3 r^{2} - 4 r + 5$

Step 2

Simplify by adding terms.

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

$- r^{2} + r - 1 - 4 r + 5$

Subtract $4 r$ from $r$ .

$- r^{2} - 3 r - 1 + 5$

Add $- 1$ and $5$ .

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

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

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