Expand $a^{3} b^{2}, a^{2} b^{3}, b^{2} a^{3}, b^{3} a^{2} .$ Are they all same?

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Solution

Now,
$a^{3} b^{2} = a \times a \times a \times b \times b$ .
$a^{2} b^{3} = a \times a \times b \times b \times b$ .
$b^{2} a^{3} = b \times b \times a \times a \times a$ .
$b^{3} a^{2} = b \times b \times b \times a \times a$ .
It is clear that all they are not same.

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