Question

(x + y)^2 - 4xy - 9z^2

please answer me
it's very urgent please ​

Answer 1

Answer:

(x+y)²-4xy-9z² =

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

Step-by-step explanation:

Question :-

factorise -

(x+y)² - 4xy - 9z²

Answer :-

We will use three formulas

(x+y)² = x²+2xy+y²....(i)

(x-y)² = x²-2xy+y²....(ii)

(x)²-(y)² = (x+y)(x-y)....(iii)

so

(x+y)² - 4xy - 9z²

= x²+2xy+y²* - 4xy - 9z² (*according to formula i)

= x²+y² +2xy-4xy -9z²

= x²+y²-2xy-9z²

= x²-2xy+y -9z²

= (x-y)²* - 9z² (*according to reverse formula ii)

= (x-y)² -3²z²

= (x-y)² -(3z)²

= (x-y+3z)(x-y-3z)* (*according to formula iii)

Hence the answer is

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

hope it helps.

Answer 2

Answer:

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