Question
Multiply the following:
$ -3 x^2 y,(5 y-x y) $
$ -3 x^2 y,(5 y-x y) $
✓
Answer
$ -3 x^2 y,(5 y-x y) $
$ -3 x^2 y \times(5 y-x y) $
$ =-3 x^2 y \times 5 y+3 x^2 y \times x y $
$=-15 x^2 y^2+3 x^3 y^2 $
$ -3 x^2 y \times(5 y-x y) $
$ =-3 x^2 y \times 5 y+3 x^2 y \times x y $
$=-15 x^2 y^2+3 x^3 y^2 $
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Repeater Machine:
Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a $(x2^4)$ machine is the same as putting it through a $(x2)$ machine four times. So, if you send a $3\ cm$ piece of wire through a $(x2^4)$ machine, its length becomes $3 \times 2 \times 2 \times 2 \times 2 = 48\ cm$. It can also be written that a base $(2)$ machine is being applied $4$ times.
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→Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a $(x2^4)$ machine is the same as putting it through a $(x2)$ machine four times. So, if you send a $3\ cm$ piece of wire through a $(x2^4)$ machine, its length becomes $3 \times 2 \times 2 \times 2 \times 2 = 48\ cm$. It can also be written that a base $(2)$ machine is being applied $4$ times.
What will be the new length of a 4cm strip inserted in the machine?
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