Solve (3a+2)*(2a-1)+(3-a)*(6a+2)-7+(a-1)

$$( 3 a + 2 ) \cdot ( 2 a - 1 ) + ( 3 - a ) \cdot ( 6 a + 2 ) - 7 + ( a - 1 )$$

Evaluate

$$18a-4$$

Solution Steps

Apply the distributive property by multiplying each term of 3a+2 by each term of 2a-1.

$$6a^{2}-3a+4a-2+\left(3-a\right)\left(6a+2\right)-7+a-1$$

Combine -3a and 4a to get a.

$$6a^{2}+a-2+\left(3-a\right)\left(6a+2\right)-7+a-1$$

Apply the distributive property by multiplying each term of 3-a by each term of 6a+2.

$$6a^{2}+a-2+18a+6-6a^{2}-2a-7+a-1$$

Combine 18a and -2a to get 16a.

$$6a^{2}+a-2+16a+6-6a^{2}-7+a-1$$

Combine a and 16a to get 17a.

$$6a^{2}+17a-2+6-6a^{2}-7+a-1$$

Add -2 and 6 to get 4.

$$6a^{2}+17a+4-6a^{2}-7+a-1$$

Combine 6a^{2} and -6a^{2} to get 0.

$$17a+4-7+a-1$$

Subtract 7 from 4 to get -3.

$$17a-3+a-1$$

Combine 17a and a to get 18a.

$$18a-3-1$$

Subtract 1 from -3 to get -4.

$$18a-4$$

Expand

$$18a-4$$

Solution Steps

Apply the distributive property by multiplying each term of 3a+2 by each term of 2a-1.

$$6a^{2}-3a+4a-2+\left(3-a\right)\left(6a+2\right)-7+a-1$$

Combine -3a and 4a to get a.

$$6a^{2}+a-2+\left(3-a\right)\left(6a+2\right)-7+a-1$$

Apply the distributive property by multiplying each term of 3-a by each term of 6a+2.

$$6a^{2}+a-2+18a+6-6a^{2}-2a-7+a-1$$

Combine 18a and -2a to get 16a.

$$6a^{2}+a-2+16a+6-6a^{2}-7+a-1$$

Combine a and 16a to get 17a.

$$6a^{2}+17a-2+6-6a^{2}-7+a-1$$

Add -2 and 6 to get 4.

$$6a^{2}+17a+4-6a^{2}-7+a-1$$

Combine 6a^{2} and -6a^{2} to get 0.

$$17a+4-7+a-1$$

Subtract 7 from 4 to get -3.

$$17a-3+a-1$$

Combine 17a and a to get 18a.

$$18a-3-1$$

Subtract 1 from -3 to get -4.

$$18a-4$$