Question : What should be added to $8(3x-4y)$ to obtain $(18x-18y)$?
Option 1: $6x-14y$
Option 2: $14y+6x$
Option 3: $14y-6x$
Option 4: $6xy$
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Correct Answer: $14y-6x$
Solution :
To find out what should be added to $8(3x-4y)$ to obtain $(18x-18y)$.
We add the term $P$ to the expression.
$⇒8(3x-4y) + P = 18x - 18y$
Where $P$ is the polynomial we want to find.
$⇒24x - 32y + P = 18x - 18y$
$\therefore P = 14y-6x$
Hence, the correct answer is $14y-6x$.
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