Odpowiedź:
a) -2x² + 2x + 7y² + x² - 3x - 6y² + x = -x² + y²
-(-1)² + 2² = -1 + 4 = 3
b) 5xy² - xy - x²y - xy² + 2xy + x²y - 4xy² = xy
-1×2 = -2
c) -3x² + 7xy * x + 2x * x - 5x * xy + x² = -3x² + 7x²y + 2x² - 5x²y + x² = 2x²y
2×(-1)²×2 = 2×1×2 = 4
d) xy + 3x * yx - 2y * xy - x²y - 2yx² + 2y²x = xy + 3x²y - 2xy² - x²y - 2x²y + 2xy² = xy
e) 6x * x² - 4x² * 2x - 3x * x + x * 2x * x + 3x = 6x³ - 8x³ - 3x² + 2x³ + 3x =
-3x² + 3x
-3×(-1)² + 3×(-1) = -3×1 + 3×(-1) = -3 + -3 = -3-3 = -6
f) -5xy³ + x² y² - 3y² * xy + 2y * 4xy² - 2xy * 3yx = -5xy³ + x²y² - 3xy³ + 2xy³ - 6x²y² = -6xy³ - 5x²y²
-6×(-1)×2³ - 5×(-1)²×2² = -6×(-1)×8 - 5×1×4 = 48 - 20 = 20
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Odpowiedź:
a) -2x² + 2x + 7y² + x² - 3x - 6y² + x = -x² + y²
-(-1)² + 2² = -1 + 4 = 3
b) 5xy² - xy - x²y - xy² + 2xy + x²y - 4xy² = xy
-1×2 = -2
c) -3x² + 7xy * x + 2x * x - 5x * xy + x² = -3x² + 7x²y + 2x² - 5x²y + x² = 2x²y
2×(-1)²×2 = 2×1×2 = 4
d) xy + 3x * yx - 2y * xy - x²y - 2yx² + 2y²x = xy + 3x²y - 2xy² - x²y - 2x²y + 2xy² = xy
-1×2 = -2
e) 6x * x² - 4x² * 2x - 3x * x + x * 2x * x + 3x = 6x³ - 8x³ - 3x² + 2x³ + 3x =
-3x² + 3x
-3×(-1)² + 3×(-1) = -3×1 + 3×(-1) = -3 + -3 = -3-3 = -6
f) -5xy³ + x² y² - 3y² * xy + 2y * 4xy² - 2xy * 3yx = -5xy³ + x²y² - 3xy³ + 2xy³ - 6x²y² = -6xy³ - 5x²y²
-6×(-1)×2³ - 5×(-1)²×2² = -6×(-1)×8 - 5×1×4 = 48 - 20 = 20
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