Question

factorise :9(x+y)2 -16(x-3y)2​

Answer 1

Answer:

Let (2x−y)=p, then the equation 9(2x−y)  

2

−4(2x−y)−13 becomes 9p  

2

−4p−13

Consider the expression 9p  

2

−4p−13 we can factorise it as follows:

9p  

2

−4p−13=9p  

2

+9p−13p−13=9p(p+1)−13(p+1)=(9p−13)(p+1)

Now, substitute the value of p as p=(2x−y):

(9p−13)(p+1)=(9(2x−y)−13)(2x−y+1)=(18x−9y−13)(2x−y+1)

Hence, 9(2x−y)  

2

−4(2x−y)−13=(18x−9y−13)(2x−y+1)

Step-by-step explanation:

Answer 2

Step-by-step explanation:

9(x+y) 2 - 16 (x-3y) 2

( 9x + 9y )2 - ( 16x - 48y )2

18x + 18y - ( 32x - 96y )

18x + 18y - 32x + 96y

-14x + 114y