Give possible expression for the length and breadth of the rectan… - Vidyadip

Question

Give possible expression for the length and breadth of the rectangle, in which the area is $35{y^2} + 13y - 12$

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Answer

Area : $35 y^2+13 y-12$
The expression $35 y^2+13 y-12$ can also be written as, $35 y^2+28 y-15 y-12$
$=35 y^2+28 y-15 y-12=7 y(5 y+4)-3(5 y+4)$
$=(7 y-3)(5 y+4)$
Therefore, we can conclude that a possible expression for the length and breadth of a rectangle of area $35 y^2+13 y-12$ is Length $=7 y-3$ and Breadth $=5 y+4$

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