Find following product: (-5 x y) (-3 x^2 y z ) - Vidyadip

Question

Find following product: $ (-5 x y) \times\left(-3 x^2 y z\right) $

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Answer

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, $a^m× a^n= a^{m+n}$ wherever applicable.
We have:
$ (-5 x y) \times\left(-3 x^2 y z\right) $
$ =\{(-5) \times(-3)\} \times\left(x \times x^2\right) \times(y \times y) \times z $
$ =15 \times\left(x^{1+2}\right) \times\left(y^{1+1}\right) \times z=15 x^3 y^2 z $
Thus, the answer is $15x^3y^2z.$

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