Question

Factorise the following
x^2-Y^2/9
​

Answer 1

Answer:

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Answer 2

Answer:

Let (x+y)=p, then the equation 2(x+y)

2

−9(x+y)−5 becomes 2p

2

−9p−5

Consider the expression 2p

2

−9p−5 we can factorise it as follows:

2p

2

−9p−5=2p

2

−10p+p−5=2p(p−5)+1(p−5)=(p−5)(2p+1)

Now, substitute the value of p as p=(x+y):

(p−5)(2p+1)=(x+y−5)(2(x+y)+1)=(x+y−5)(2x+2y+1)

Hence, 2(x+y)

2

−9(x+y)−5=(x+y−5)(2x+2y+1)

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