Question
Find following product: $ \left(-4 x^2\right) \times\left(-6 x y^2\right) \times\left(-3 y z^2\right) $
✓
Answer
To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, $a^m× a^n= a^{m+n}$.
We have:
$ \left(-4 x^2\right) \times\left(-6 x y^2\right) \times\left(-3 y z^2\right) $
$ =[(-4) \times(-6) \times(-3)] \times\left(x^2 \times x\right) \times\left(y^2 \times y\right) \times z^2 $
$ {[(-4) \times(-6) \times(-3)] \times\left(x^2+1\right) \times\left(y^2+1\right) \times z^2} $
$ =-72 x^3 y^3 z^2 $
We have:
$ \left(-4 x^2\right) \times\left(-6 x y^2\right) \times\left(-3 y z^2\right) $
$ =[(-4) \times(-6) \times(-3)] \times\left(x^2 \times x\right) \times\left(y^2 \times y\right) \times z^2 $
$ {[(-4) \times(-6) \times(-3)] \times\left(x^2+1\right) \times\left(y^2+1\right) \times z^2} $
$ =-72 x^3 y^3 z^2 $
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