Solve 2a^2*b^4-3(ab^2)^2

$$2 a ^ { 2 } \cdot b ^ { 4 } - 3 ( a b ^ { 2 } ) ^ { 2 }$$

Evaluate

$$-a^{2}b^{4}$$

Solution Steps

Expand \left(ab^{2}\right)^{2}.

$$2a^{2}b^{4}-3a^{2}\left(b^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$2a^{2}b^{4}-3a^{2}b^{4}$$

Combine 2a^{2}b^{4} and -3a^{2}b^{4} to get -a^{2}b^{4}.

$$-a^{2}b^{4}$$

Expand

$$-a^{2}b^{4}$$

Solution Steps

Expand \left(ab^{2}\right)^{2}.

$$2a^{2}b^{4}-3a^{2}\left(b^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$2a^{2}b^{4}-3a^{2}b^{4}$$

Combine 2a^{2}b^{4} and -3a^{2}b^{4} to get -a^{2}b^{4}.

$$-a^{2}b^{4}$$