Factorise:(x+y)^2-4xy-9z^2
Answers
Answered by
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
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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