Question

factories x2+9y2+6xy-z2​

Answer 1

Answer:

(x+3y+z) (x+3y-z)

Step-by-step explanation:

(x^2 + 9y^2 + 6xy) -z^2

We will use identity

*(a+b)^2 = a^2 + b^2 + 2ab*

=> [   ( x)^2 + (3y)^2  + 2 (x) (3y)    ]  -(z)^2

=> (x+3y)^2 - (z)^2

Now identity =

a^2 - b^2 = (a+b)(a-b)

i.e,  

=> (x+3y)^2 - (z)^2 = (x+3y+z) (x+3y-z)

FINAL ANSWER :- (x+3y+z) (x+3y-z)

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