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san4es73 [151]
3 years ago
9

Can someone help with that?if x+y=2, calculate: P=4x (x-3)+4y(y-3)+8xy​

Mathematics
1 answer:
olganol [36]3 years ago
6 0

Answer:

Step-by-step explanation:

P = 4x(x - 3) + 4y(y - 3) + 8xy

  = 4x² - 12x + 4y² - 12y + 8xy

  = (4x² + 8xy + 4y²) - (12x + 12y)

 = 4(x² + 2xy + y²) - 12(x + y)

 = 4(x + y)² - 12(x + y)

x+y =2 ⇒ P = 4.2² - 12.2 = 16 - 24 = -8

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