Solve (4a+3)(a+6)+(a+6)+(a^2-36)

$$( 4 a + 3 ) ( a + 6 ) + ( a + 6 ) + ( a ^ { 2 } - 36 )$$

Evaluate

$$\left(5a-2\right)\left(a+6\right)$$

Solution Steps

Use the distributive property to multiply 4a+3 by a+6 and combine like terms.

$$4a^{2}+27a+18+a+6+a^{2}-36$$

Combine 27a and a to get 28a.

$$4a^{2}+28a+18+6+a^{2}-36$$

Add 18 and 6 to get 24.

$$4a^{2}+28a+24+a^{2}-36$$

Combine 4a^{2} and a^{2} to get 5a^{2}.

$$5a^{2}+28a+24-36$$

Subtract 36 from 24 to get -12.

$$5a^{2}+28a-12$$

Expand

$$5a^{2}+28a-12$$

Solution Steps

Use the distributive property to multiply 4a+3 by a+6 and combine like terms.

$$4a^{2}+27a+18+a+6+a^{2}-36$$

Combine 27a and a to get 28a.

$$4a^{2}+28a+18+6+a^{2}-36$$

Add 18 and 6 to get 24.

$$4a^{2}+28a+24+a^{2}-36$$

Combine 4a^{2} and a^{2} to get 5a^{2}.

$$5a^{2}+28a+24-36$$

Subtract 36 from 24 to get -12.

$$5a^{2}+28a-12$$