Question

Fill in the blanks​

​(v) $6\times 2=\underset{–}{}$ and $6xy\times 2xy=\underset{–}{}$

Answer 1

Find the product of $6$ and $2$
To find: $6\times 2$
$\therefore 6\times 2=12$

Find the product of $6xy$ and $2xy$
To find: $6xy\times 2xy$

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

$\therefore 6xy\times 2xy$
$=(6\times 2)\times (xy\times xy)$
$=12\times x^{1+1}\times y^{1+1}$
$=12x^2{y}^2$

Hence $6\times 2=12$ and $6xy\times 2xy=12x^2{y}^2$