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AfilCa [17]
3 years ago
15

Solve (X^2+2xy+y^2)(x+1)

Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer:

x = -1 or x = -y

Step-by-step explanation:

Solve for x:

(x + 1) (x^2 + 2 x y + y^2) = 0

Split into two equations:

x + 1 = 0 or x^2 + 2 x y + y^2 = 0

Subtract 1 from both sides:

x = -1 or x^2 + 2 x y + y^2 = 0

Write the left hand side as a square:

x = -1 or (x + y)^2 = 0

Take the square root of both sides:

x = -1 or x + y = 0

Subtract y from both sides:

Answer:  x = -1 or x = -y

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