Solve 1*5m+2*3n+5p--2*3m-3*2p+12n

$$1 \cdot 5m+2 \cdot 3n+5p--2 \cdot 3m-3 \cdot 2p+12n$$

Evaluate

$$11m+18n-p$$

Solution Steps

Multiply 1 and 5 to get 5. Multiply 2 and 3 to get 6.

$$5m+6n+5p-\left(-2\times 3m\right)-3\times 2p+12n$$

Multiply -2 and 3 to get -6.

$$5m+6n+5p-\left(-6m\right)-3\times 2p+12n$$

The opposite of -6m is 6m.

$$5m+6n+5p+6m-3\times 2p+12n$$

Multiply 3 and 2 to get 6.

$$5m+6n+5p+6m-6p+12n$$

Combine 5m and 6m to get 11m.

$$11m+6n+5p-6p+12n$$

Combine 5p and -6p to get -p.

$$11m+6n-p+12n$$

Combine 6n and 12n to get 18n.

$$11m+18n-p$$

Differentiate w.r.t. m

$$11$$