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Find the following products and verify the results for x = -1, y = -2 (x2y – 1) (3 – 2x2y) |
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Answer» Now, let us simplify the given expression = (x2y – 1) × (3 – 2x2y) = x2y (3 – 2x2y) – 1 (3 – 2x2y) = 3x2y – 2x4y2 – 3 + 2x2y = 5x2y – 2x4y2 – 3 Let us substitute the given values x = – 1 and y = – 2, then = (x2y – 1) × (3 – 2x2y) = [(-1)2 (-2) – 1] × [3 – 2 (-1)2 (-2) = (-2 – 1) × (3 + 4) = -3 × 7 = -21 Now, = 5x2y – 2x4y2 – 3 = [-2 (-1)4 (-2)2 + 5 (-1)2 (2) – 3] = – 8 – 10 – 3 = -21 ∴ The given expression is verified. |
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