Question

factorise : x^2 - 11xy - 60y^2​

Answer 1

Answer:

Given

P(x) =x^2 - 11xy - 60y^2

Now by using splitting method

The factor of 60 =

- 1*60=60 by adding

- 2*30=32 by adding

- 3*20=23 by adding

- 4*15=11 by adding

Also we have - 15*4=-11 by adding

And so many others

But by adding the two factors of - 60 that is - 15 and 4 we get - 11 as the middle term of the p(x)

Then

We can write it as

X^2 +(-15+4)xy - 60y^2

X^2 - 15xy +4xy - 60 y^2

Take common numbers out

We get

X(x-15y)+4y(x-15y)

Now take common more

We get

(x + 4y) (x-15y) that is the best answer for your best question

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