35ysquare + 13y - 12.
find the possible expressions for the length and breadth of each of the above rectangle.
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35ysquare + 13y - 12.
find the possible expressions for the length and breadth of each of the above rectangle.
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To find the possible length and breadth of the rectangle ; we will split the middle term :
The main idea of splitting the middle term is based on two equations. Which when satisfied gives us the correct values . These equations are :
p × q = Constant term
p +/- q = Middle term.
Following the same equation we will solve the given problem.
Note : If the coefficient of the first term isn't 1 ; it must be multiplied to the constant term.
Here in the given question ; the same has to be followed as ; the coefficient of . So it must be multiplied to the constant term which is 12. Thus giving us 420.
Now we will consider the factors of 420 and check with the two equations :
So the middle term when split gives :
Now the factorization is very easy :
This when simplified gives first part of the new equation :
This when simplified gives us the second part of the new equation :
So the factorization is :
And the possibilities are :
Length : (5y + 4)
Breadth : (7y - 3)