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Question

2x4 - 13x2y2 + 15y4

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Solution

We have 2x4 - 13x2y2 + 15y4.Let x2= a and y2 = bi.e., x4 = a2, y4 = b2 and x2y2 = ab2 x4 - 13x2y2 + 15y4 = 2a2 - 13ab + 15b2 =2a2 - 10ab-3ab+ 15b2 =2aa - 5b -3ba - 5b =a - 5b2a - 3bResubstituting the values of a and b, we get: 2x4 - 13x2y2 +15y4 =x2 - 5y22x2 - 3y2

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