Question

Factorize the following :
5x^2-29xy-42y^2

Answer 1

5x^2-29xy-42y^2

=5x^2-15xy-14xy-42^2 (splitting the middle terms)

=5x(x-3y) + 14y(x-3y)

=(5x+14y)(x-3y)

The answer is correct.

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Answer 2

Answer:

5x^2-29xy-42y^2

Product (5×-42)= -120

Sum = -29

Pair of -120 are -35 and 6

We split the middle term as -35xy and 6xy,

5x^2-29xy-4y^2= 5x^2-35xy+6xy-42y^2

                          = 5x(x- 7y) +6y(x- 7y)

                          = (5x+6y) (x-7y).