Question

Divide the polynomials
10a3bc2 • 2a3b​

Answer 1

Given:

Two polynomials -

• $\bf \to 10a^3bc^2$

• $\bf \to 2a^3b$

What To Find:

We have to -

• Divide the polynomials.

How To Find:

To find we have to -

• First, try finding out the common factors in the numerator and denominator.
• Next, cancel those common factors.
• Then, keep on cancelling until it can't be done.
• Finally, we will get the answer.

Solution:

$\sf \to \dfrac{10a^3bc^2}{2a^3b}$

Can be written as,

$\sf \to \dfrac{10 \times a^3 \times b \times c^2}{2 \times a^3 \times b}$

Cancel a³,

$\sf \to \dfrac{10 \times b \times c^2}{2 \times b}$

Cancel b,

$\sf \to \dfrac{10 \times c^2}{2}$

Cancel 10 and 2,

$\sf \to 5c^2$

Final Answer:

∴ Thus, the answer is 5c².