Question

Factor the following polynomial completely. -x 2 y 2 + x 4 + 9y 2 - 9x 2

Answer 1

Given x2y2+x4+9y2-9x2

x2(y2+x2-9)+9y2 // taking x as common //
(x2+9)y2 +(x2-9) x2
roots of the equation are

x2+9 # = 0, y = -√(-x2(x2-9))/ (√(x2+9)
x2+9 # = 0, y = √(-x2(x2-9))/ (√(x2+9)

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