Question

Fill in the blanks​:

(vi) ​$12\times 4=\underset{–}{}$ and $12a{x}^2\times 4ax=\underset{–}{}$

Answer 1

Find the product of $12$ and $4$
To find: $12\times 4$
$\therefore 12\times 4=48$

Find the product of $12a{x}^2$ and $4ax$
To find: $12a{x}^2\times 4ax$

The multiplication of monomials can be performed
by multiplication of their coefficients and literals

$\therefore 12a{x}^2\times 4ax$
$=(12\times 4)\times (a{x}^2\times ax)$
$=48\times a^{1+1}\times x^{2+1}$
$=48a^2{x}^3$

Hence $12\times 4=48$ and $12a{x}^2\times 4ax=48a^2{x}^3$