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:

$$(-5xy)\times (-3x^{2}yz)$$

$$=\{(-5)\times (-3)\}\times (x\times x^2)\times (y\times y)\times z$$

$$=15\times \left(x^{1+2}\right)\times \left(y^{1+1}\right)\times z$$

$$=15x^3{y}^{2}z$$

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