Question

Multiply and simplify.2x^4yx times 6xy^2z^3

Answer 1

Answer:

The answer is:

$12x^6y^3z^3$

Step-by-step explanation:

When we are asked to multiply the two terms or the polynomials, then we can use the formula:

$\:a^b\cdot \:a^c=a^{b+c}$

So we can so thing only for the same base expressions or the like terms. Now, there are other techniques too, to find the multiplication of two or more than two terms.

Now, the given multiplication form is:  

$\left(2x^4yx\right)\left(6xy^2z^3\right)$

So we have:

$\left(2x^4yx\right)\left(6xy^2z^3\right)\\=2y\cdot \:6x^{4+1+1}y^2z^3\\=12x^6y^3z^3$

Thus it is the required simplified form.