Question

45. 2(x + y)2 - 9(x + y) - 5 factorise it!!​

Answer 1

Answer:

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Step-by-step explanation:

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)