Solve 5(3a^2b-ab^2)-3(ab^2+5a^2b)

$$5 ( 3 a ^ { 2 } b - a b ^ { 2 } ) - 3 ( a b ^ { 2 } + 5 a ^ { 2 } b )$$

Evaluate

$$-8ab^{2}$$

Solution Steps

Use the distributive property to multiply 5 by 3a^{2}b-ab^{2}.

$$15a^{2}b-5ab^{2}-3\left(ab^{2}+5a^{2}b\right)$$

Use the distributive property to multiply -3 by ab^{2}+5a^{2}b.

$$15a^{2}b-5ab^{2}-3ab^{2}-15a^{2}b$$

Combine -5ab^{2} and -3ab^{2} to get -8ab^{2}.

$$15a^{2}b-8ab^{2}-15a^{2}b$$

Combine 15a^{2}b and -15a^{2}b to get 0.

$$-8ab^{2}$$

Expand

$$-8ab^{2}$$

Solution Steps

Use the distributive property to multiply 5 by 3a^{2}b-ab^{2}.

$$15a^{2}b-5ab^{2}-3\left(ab^{2}+5a^{2}b\right)$$

Use the distributive property to multiply -3 by ab^{2}+5a^{2}b.

$$15a^{2}b-5ab^{2}-3ab^{2}-15a^{2}b$$

Combine -5ab^{2} and -3ab^{2} to get -8ab^{2}.

$$15a^{2}b-8ab^{2}-15a^{2}b$$

Combine 15a^{2}b and -15a^{2}b to get 0.

$$-8ab^{2}$$