Simplify (10+7r-r^2)+(-6r^2-18+5r)

$(10 + 7 r - r^{2}) + (- 6 r^{2} - 18 + 5 r)$

Step 1

Simplify the expression.

Remove parentheses.

$10 + 7 r - r^{2} - 6 r^{2} - 18 + 5 r$

Subtract $18$ from $10$ .

$7 r - r^{2} - 6 r^{2} - 8 + 5 r$

$7 r - r^{2} - 6 r^{2} - 8 + 5 r$

Step 2

Add $7 r$ and $5 r$ .

$- r^{2} - 6 r^{2} - 8 + 12 r$

Step 3

Subtract $6 r^{2}$ from $- r^{2}$ .

$- 7 r^{2} - 8 + 12 r$

Step 4

Move $- 8$ .

$- 7 r^{2} + 12 r - 8$

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