Solve -4xy^3*(-xy)+(-3xy^2)^2

$$- 4 x y ^ { 3 } \cdot ( - x y ) + ( - 3 x y ^ { 2 } ) ^ { 2 }$$

Evaluate

$$13x^{2}y^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$-4xy^{4}\left(-x\right)+\left(-3xy^{2}\right)^{2}$$

Multiply -4 and -1 to get 4.

$$4xy^{4}x+\left(-3xy^{2}\right)^{2}$$

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

$$4x^{2}y^{4}+\left(-3xy^{2}\right)^{2}$$

Expand \left(-3xy^{2}\right)^{2}.

$$4x^{2}y^{4}+\left(-3\right)^{2}x^{2}\left(y^{2}\right)^{2}$$

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

$$4x^{2}y^{4}+\left(-3\right)^{2}x^{2}y^{4}$$

Calculate -3 to the power of 2 and get 9.

$$4x^{2}y^{4}+9x^{2}y^{4}$$

Combine 4x^{2}y^{4} and 9x^{2}y^{4} to get 13x^{2}y^{4}.

$$13x^{2}y^{4}$$

Expand

$$13x^{2}y^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$-4xy^{4}\left(-x\right)+\left(-3xy^{2}\right)^{2}$$

Multiply -4 and -1 to get 4.

$$4xy^{4}x+\left(-3xy^{2}\right)^{2}$$

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

$$4x^{2}y^{4}+\left(-3xy^{2}\right)^{2}$$

Expand \left(-3xy^{2}\right)^{2}.

$$4x^{2}y^{4}+\left(-3\right)^{2}x^{2}\left(y^{2}\right)^{2}$$

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

$$4x^{2}y^{4}+\left(-3\right)^{2}x^{2}y^{4}$$

Calculate -3 to the power of 2 and get 9.

$$4x^{2}y^{4}+9x^{2}y^{4}$$

Combine 4x^{2}y^{4} and 9x^{2}y^{4} to get 13x^{2}y^{4}.

$$13x^{2}y^{4}$$