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Question

(y2 + 5y) (y2 + 5y - 2) - 24

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Solution

We have y2 + 5yy2 + 5y - 2 - 24.Let y2 +5y= ay2 + 5yy2 + 5y - 2 - 24 = aa-2 - 24 =a2 - 2a-24 =a2 - 6a +4a-24 =aa - 6 +4a - 6 =a - 6 a + 4Resubstituting the value of a, we get:y2 + 5yy2 + 5y - 2 - 24 =y2 +5y -6 y2 +5y + 4 =y2 +6y -y-6 y2 +4y + y + 4 =yy+6 - 1y+6 yy+4 + 1y+4 =y+6 y-1 y+4 y+1

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