Simplify (4r-s)-(r+2s)+(3r-s)

$(4 r - s) - (r + 2 s) + (3 r - s)$

Step 1

Remove parentheses.

$(4 r - s) - (r + 2 s) + 3 r - s$

Step 2

Simplify each term.

Apply the distributive property.

$4 r - s - r - (2 s) + 3 r - s$

Multiply $2$ by $- 1$ .

$4 r - s - r - 2 s + 3 r - s$

$4 r - s - r - 2 s + 3 r - s$

Step 3

Simplify by adding terms.

Subtract $r$ from $4 r$ .

$3 r - s - 2 s + 3 r - s$

Add $3 r$ and $3 r$ .

$6 r - s - 2 s - s$

Subtract $2 s$ from $- s$ .

$6 r - 3 s - s$

Subtract $s$ from $- 3 s$ .

$6 r - 4 s$

$6 r - 4 s$

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