25-4x^2-12xy+9y^2 please give a detailed answer
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Answer:
25-4x²-12xy+9y²
-4x²-12xy+9y²=-25
(-2x+3y)²=-25
3y-2x=√-25
3y-2x=5...
Answered by
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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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