Question
What is the value of 8x³ + 18xy + y³ – 27 when 2x +
y – 3 = 0.Solution
2x + y – 3 = 0 2x + y=3 … (1) Both sides squaring… (2x+y)3 = (3)3 (2x)3+(y)3+3×2x ×y (2x+y) =27 8x3+y3+6xy (3) =27 8x3+y3+18xy =27 8x3+y3+18xy-27 =0.
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