Solve 15ab*3a*b=

$$15 a b \times 3 a \times b =$$

Evaluate

$$45\left(ab\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$15^{1}a^{1}b^{1}\times 3^{1}a^{1}b^{1}$$

Use the Commutative Property of Multiplication.

$$15^{1}\times 3^{1}a^{1}a^{1}b^{1}b^{1}$$

To multiply powers of the same base, add their exponents.

$$15^{1}\times 3^{1}a^{1+1}b^{1+1}$$

Add the exponents 1 and 1.

$$15^{1}\times 3^{1}a^{2}b^{1+1}$$

Add the exponents 1 and 1.

$$15^{1}\times 3^{1}a^{2}b^{2}$$

Multiply 15 times 3.

$$45a^{2}b^{2}$$

Differentiate w.r.t. a

$$90ab^{2}$$