Math, asked by sanjurajasanjuraja17, 5 months ago

Factorise:(x+y)^2-4xy-9z^2​

Answers

Answered by sumaiya298
53

Answer:

(x-y)²-(3z)²

Step-by-step explanation:

x²+2xy+y²-4xy-9z²

x²-2xy+y²-9z²

(x-y)²-(3z)²

Answered by SteffiPaul
22

Given,

The equation (x+y)^2-4xy-9z^2​ is given.

To find,

factors of (x+y)^2-4xy-9z^2​

Solution,

The factors of (x+y)^2-4xy-9z^2​ is (x-y+9z)(x-y-9z).

We can simply factorize the equation (x+y)^2-4xy-9z^2​ by using identities.

(x+y)²-4xy-9z²  [(a+b)² = a²+b²+2ab]

x²+y²+2xy-4xy-9z²

x²+y²-2xy-9z² [(x-y)² = x²+y²-2xy]

(x-y)²-9z² [ (a²-b²) =(a+b)(a-b)]

(x-y+9z)(x-y-9z)

Hence, the factors of (x+y)^2-4xy-9z^2​ is (x-y+9z)(x-y-9z).

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