Rút gọn các biểu thức sau:
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Bài 2. Rút gọn các biểu thức sau:
1) \((x^2 - 4x^2)^2 - (x^2 - x + 1)\)
2) \(2x(x^2 + y) - x(2y + 1) - x(2x^2 - 21y)\)
3) \(5x(6y - x^2) + 3y(y - 10x) - 3y(y - 1) + 15x^3\)
4) \(2(x - 1)^2 - 4(3 + x)^2 + 2(x^2 - 5)\)
5) \(2(2x + 5)^2 - 3(4x + 1)(1 - 4x)\)
6) \((x^2 - 1)(x^2 + x + 1)(x^2 - x + 1)\)
7) \((x^2 - 2x + 4)(x + 2) - (x + 1)^3 + 3(x - 1)(x + 1)\)
8) \((5x - 2)^2 + (3x - 2)^2 - (10x - 4)(3x - 2)\)
9) \(2xy(xy^2 - 3x^3y + 1) - (12x^2y^3 - 36x^3y^4 + 6x^3y^2): (6x^2y^2)\)
10) \((15x^4 - 20x^3y + 10x^2y^3) : (5xy) - (xy - 4x^2 + 2) \cdot xy^2\)
Bài 2. Rút gọn các biểu thức sau:
1) \((x^2 - 4x^2)^2 - (x^2 - x + 1)\)
2) \(2x(x^2 + y) - x(2y + 1) - x(2x^2 - 21y)\)
3) \(5x(6y - x^2) + 3y(y - 10x) - 3y(y - 1) + 15x^3\)
4) \(2(x - 1)^2 - 4(3 + x)^2 + 2(x^2 - 5)\)
5) \(2(2x + 5)^2 - 3(4x + 1)(1 - 4x)\)
6) \((x^2 - 1)(x^2 + x + 1)(x^2 - x + 1)\)
7) \((x^2 - 2x + 4)(x + 2) - (x + 1)^3 + 3(x - 1)(x + 1)\)
8) \((5x - 2)^2 + (3x - 2)^2 - (10x - 4)(3x - 2)\)
9) \(2xy(xy^2 - 3x^3y + 1) - (12x^2y^3 - 36x^3y^4 + 6x^3y^2): (6x^2y^2)\)
10) \((15x^4 - 20x^3y + 10x^2y^3) : (5xy) - (xy - 4x^2 + 2) \cdot xy^2\)