Solve -a*3a-3a*(a+4)-(4+3a)*(-2a+1)=

$$- a \cdot 3 a - 3 a \cdot ( a + 4 ) - ( 4 + 3 a ) \cdot ( - 2 a + 1 ) =$$

Evaluate

$$-7a-4$$

Solution Steps

Apply the distributive property by multiplying each term of 4+3a by each term of -2a+1.

$$\left(-a\right)\times 3a-3a\left(a+4\right)-\left(-8a+4-6a^{2}+3a\right)$$

Combine -8a and 3a to get -5a.

$$\left(-a\right)\times 3a-3a\left(a+4\right)-\left(-5a+4-6a^{2}\right)$$

To find the opposite of -5a+4-6a^{2}, find the opposite of each term.

$$\left(-a\right)\times 3a-3a\left(a+4\right)-\left(-5a\right)-4-\left(-6a^{2}\right)$$

The opposite of -5a is 5a.

$$\left(-a\right)\times 3a-3a\left(a+4\right)+5a-4-\left(-6a^{2}\right)$$

The opposite of -6a^{2} is 6a^{2}.

$$\left(-a\right)\times 3a-3a\left(a+4\right)+5a-4+6a^{2}$$

Multiply -1 and 3 to get -3.

$$-3aa-3a\left(a+4\right)+5a-4+6a^{2}$$

Multiply a and a to get a^{2}.

$$-3a^{2}-3a\left(a+4\right)+5a-4+6a^{2}$$

Use the distributive property to multiply -3a by a+4.

$$-3a^{2}-3a^{2}-12a+5a-4+6a^{2}$$

Combine -3a^{2} and -3a^{2} to get -6a^{2}.

$$-6a^{2}-12a+5a-4+6a^{2}$$

Combine -12a and 5a to get -7a.

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

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

$$-7a-4$$

Expand

$$-7a-4$$

Solution Steps

Apply the distributive property by multiplying each term of 4+3a by each term of -2a+1.

$$\left(-a\right)\times 3a-3a\left(a+4\right)-\left(-8a+4-6a^{2}+3a\right)$$

Combine -8a and 3a to get -5a.

$$\left(-a\right)\times 3a-3a\left(a+4\right)-\left(-5a+4-6a^{2}\right)$$

To find the opposite of -5a+4-6a^{2}, find the opposite of each term.

$$\left(-a\right)\times 3a-3a\left(a+4\right)-\left(-5a\right)-4-\left(-6a^{2}\right)$$

The opposite of -5a is 5a.

$$\left(-a\right)\times 3a-3a\left(a+4\right)+5a-4-\left(-6a^{2}\right)$$

The opposite of -6a^{2} is 6a^{2}.

$$\left(-a\right)\times 3a-3a\left(a+4\right)+5a-4+6a^{2}$$

Multiply -1 and 3 to get -3.

$$-3aa-3a\left(a+4\right)+5a-4+6a^{2}$$

Multiply a and a to get a^{2}.

$$-3a^{2}-3a\left(a+4\right)+5a-4+6a^{2}$$

Use the distributive property to multiply -3a by a+4.

$$-3a^{2}-3a^{2}-12a+5a-4+6a^{2}$$

Combine -3a^{2} and -3a^{2} to get -6a^{2}.

$$-6a^{2}-12a+5a-4+6a^{2}$$

Combine -12a and 5a to get -7a.

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

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

$$-7a-4$$