Solve -5*c*c*b*b*3*c*c*a*b*b

$$- 5 \times c \times c \times b \times b \times 3 \times c \times c \times a \times b \times b$$

Evaluate

$$-15a\left(bc\right)^{4}$$

Solution Steps

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

$$-5c^{2}bb\times 3ccabb$$

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

$$-5c^{3}bb\times 3cabb$$

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

$$-5c^{4}bb\times 3abb$$

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

$$-5c^{4}b^{2}\times 3abb$$

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

$$-5c^{4}b^{3}\times 3ab$$

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

$$-5c^{4}b^{4}\times 3a$$

Multiply -5 and 3 to get -15.

$$-15c^{4}b^{4}a$$

Differentiate w.r.t. a

$$-15\left(bc\right)^{4}$$