Question

Find each of the following product:
(−5xy) × (−3x²yz)

Answer 1

To multiply algebraic expressions, we use commutative and associative laws along with the law of indices, $a^m\times a^n=a^{m+n}$, wherever applicable.

We have:

$$\begin{gathered} \left(-5xy\right)\times \left(-3x^{2}yz\right) \\ =\left\{\left(-5\right)\times \left(-3\right)\right\}\times \left(x\times x^2\right)\times \left(y\times y\right)\times z \\ =15\times \left(x^{1+2}\right)\times \left(y^{1+1}\right)\times z \\ =15x^3{y}^{2}z \end{gathered}$$

Thus, the answer is $15x^3{y}^{2}z$.