Math, asked by rakhikatlana, 10 months ago

25-4x^2-12xy+9y^2 please give a detailed answer​

Answers

Answered by teriqueenforforever
1

Answer:

25-4x²-12xy+9y²

-4x²-12xy+9y²=-25

(-2x+3y)²=-25

3y-2x=√-25

3y-2x=5...

Answered by baskar37737
1

Answer:. 25 - 4x2 -12xy -9y2

= 25 - (4x2 + 12xy +9y2)

= 25 - { (2x)2 + 2*2x*3y + (3y)2 }

{(2x)2 + 2*2x*3y + (3y)2} This can be written as (2x + 3y)2 using the identity a2 + b2 + 2ab = (a+b)2

25 can be written as (5)2

(5)2 - (2x+3y)2

This forms another identity, a2 - b2 = (a+b) (a-b)

Therefore,

(5)2 - (2x+3y)2 = (5 + 2x +3y) (5 - 2x - 3y)

Step-by-step explanation:

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