Question

Find the product of the following monomial:
$a,b,ab,a^{3}b,a{b}^3$

• A. $a^6{b}^6$
• B. $a^7{b}^6$
• C. $a^6{b}^7$
• D. None of these

Answer 1

The correct option is A $a^6{b}^6$

We multiply the given polynomials $a,b,ab,a^{3}b$ and $a{b}^3$ as shown below:

$a\times b\times ab\times a^{3}b\times a{b}^{3}a\times b\times (a\times b)\times (a\times a\times a\times b)\times (a\times b\times b\times b)=(a\times a\times a\times a\times a\times a)\times (b\times b\times b\times b\times b\times b)=a^6\times b^6=a^6{b}^6$

Hence, the product of $a,b,ab,a^{3}b$ and $a{b}^3$ is $a^6{b}^6$.