Solve x*y*2x*3y*4x

$$x \times y \times 2 x \times 3 y \times 4 x$$

Evaluate

$$24y^{2}x^{3}$$

Solution Steps

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

$$x^{2}y\times 2\times 3y\times 4x$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}y\times 2\times 3y\times 4$$

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

$$x^{3}y^{2}\times 2\times 3\times 4$$

Multiply 2 and 3 to get 6.

$$x^{3}y^{2}\times 6\times 4$$

Multiply 6 and 4 to get 24.

$$x^{3}y^{2}\times 24$$

Differentiate w.r.t. x

$$72\left(xy\right)^{2}$$