Question

yohan can mold x² - 4 clay pots in (x - 2) hours. how many clay pots can yohan mold in an hour?​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

Yohan can mold x² - 4 clay pots in (x - 2) hours

TO DETERMINE

The number of clay pots Yohan can mold in an hour

FORMULA TO BE IMPLEMENTED

We are aware of the identity that

$\sf{ {a}^{2} - {b}^{2} \: = (a + b)(a - b) \: }$

CALCULATION

Here it is given that Yohan can mold x² - 4 clay pots in (x - 2) hours

Now we will proceed to factorise x² - 4

$\sf{ {x}^{2} - 4\: }$

$= \sf{ {(x)}^{2} - {(2)}^{2} \: }$

$\sf{ = (x + 2)(x - 2)\: } \: \: \: ( \: by \: above \: identity \: )$

So Yohan can mold ( x + 2)( x - 2 ) clay pots in ( x - 2 ) hours

Here the number of clay pots Yohan can mold in an hour

$= \displaystyle \sf{ \frac{(x + 2)(x - 2)}{(x - 2)} \: }$

$= \displaystyle \sf{ (x + 2) \: }$

RESULT

The number of clay pots Yohan can mold in an hour

= ( x + 2 )

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Answer 2

Answer:

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1+1=3

Step-by-step explanation:

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