Solve (6b-1)(b+4)+(6b-1)(2b+5)

$$( 6 b - 1 ) ( b + 4 ) + ( 6 b - 1 ) ( 2 b + 5 )$$

Evaluate

$$3\left(6b-1\right)\left(b+3\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 6b-1 by each term of b+4.

$$6b^{2}+24b-b-4+\left(6b-1\right)\left(2b+5\right)$$

Combine 24b and -b to get 23b.

$$6b^{2}+23b-4+\left(6b-1\right)\left(2b+5\right)$$

Apply the distributive property by multiplying each term of 6b-1 by each term of 2b+5.

$$6b^{2}+23b-4+12b^{2}+30b-2b-5$$

Combine 30b and -2b to get 28b.

$$6b^{2}+23b-4+12b^{2}+28b-5$$

Combine 6b^{2} and 12b^{2} to get 18b^{2}.

$$18b^{2}+23b-4+28b-5$$

Combine 23b and 28b to get 51b.

$$18b^{2}+51b-4-5$$

Subtract 5 from -4 to get -9.

$$18b^{2}+51b-9$$

Expand

$$18b^{2}+51b-9$$

Solution Steps

Apply the distributive property by multiplying each term of 6b-1 by each term of b+4.

$$6b^{2}+24b-b-4+\left(6b-1\right)\left(2b+5\right)$$

Combine 24b and -b to get 23b.

$$6b^{2}+23b-4+\left(6b-1\right)\left(2b+5\right)$$

Apply the distributive property by multiplying each term of 6b-1 by each term of 2b+5.

$$6b^{2}+23b-4+12b^{2}+30b-2b-5$$

Combine 30b and -2b to get 28b.

$$6b^{2}+23b-4+12b^{2}+28b-5$$

Combine 6b^{2} and 12b^{2} to get 18b^{2}.

$$18b^{2}+23b-4+28b-5$$

Combine 23b and 28b to get 51b.

$$18b^{2}+51b-4-5$$

Subtract 5 from -4 to get -9.

$$18b^{2}+51b-9$$