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(5x - 2)(x + 1) - 3x(x2 - x - 3) - 2x(x - 5)(x + 4) + 5x(x2 - 7)
= 5x2 + 3x - 2 - 3x3 + 3x2 + 9x - 2x(x2 - x - 20) + 5x3 - 35x
= 2x3 + 8x2 - 23x - 2 - 2x3 + 2x2 + 40x = 10x2 + 17x - 2
(3x - 7)(x + 3) + 5x(x2 - 2x - 4) - (4x - 5)(x-4)-(x + 2)(x + 1)
=3x2+9x-7x-21+5x3-10x2-20x-4x2+16x+5x-20-x2-x-2x-2
=5x3-13x2-43
(-3x + 4)(x - 2) - x(x2 - 2)(-4x + 1) + (2x - 5)(x2 - 4x)
= -3x2 + 10x - 8 - x(-4x3 + x2 + 8x - 2) + 2x3 - 13x2 + 20x
= 2x3 - 16x2 + 30x - 8 + 4x4 - x3 - 8x2 + 2x
= 4x4 + x3 - 24x2 + 28x - 8
-7x(2x2- 4x - 5) - (x - 5)(-2x + 3) + (3x - 2)(x+4) - 4x2 (x - 3)
=-14x3+28x2+35x+2x2-3x-10x+15+3x2+12x-2x-8-4x3+12x2
=-18x3+45x2+32x+7
4x(x2-2x+3)-3x(x+1)(x-2)+(2x-5)(x-7)-4x(x2-x+1)
=4x3-8x2+12x-3x(x2-2x+x-2)+2x2-14x-5x+35-4x3+4x2-4x
=4x3-8x2+12x-3x3+6x2-3x2+6x+2x2-14x-5x+35-4x3+4x2-4x
=-3x3+x2-5x+35
#H
dài lắm nên mình làm tắt
1) (x - 5)^2 + (x + 3)^2 = 2(x - 4)(x + 4) - 5x + 7
<=> x^2 - 10x + 25 + x^2 + 6x + 9 = 2x^2 + 8x - 8x - 32 - 5x + 7
<=> 2x^2 - 4x + 34 = 2x^2 - 5x - 25
<=> -4x + 34 = -5x - 25
<=> x + 34 = -25
<=> x = -25 - 34
<=> x = - 59
2) (x + 3)(x - 2) - 2(x + 1)^2 = (x - 3)^2 - 2x^2 + 4x
<=> x^2 - 2x + 3x - 6 - 2x^2 - 4x - 2 = x^2 - 6x + 9 - 2x^2 + 4x
<=> -x^2 - 3x - 8 = -x^2 - 2x + 9
<=> -3x - 8 = -2x + 9
<=> -x - 8 = 9
<=> -x = 9 + 8
<=> x = -17
3) (x + 1)^3 - (x + 2)(x - 4) = (x - 2)(x^2 + 2x + 4) + 2x^2
<=> x^3 + 2x^3 + x + x^2 + 2x + 1 - x^2 + 4x - 2x + 8 = x^3 + 2x^2 + 4x - 2x^2 - 4x - 8 + 2x^2
<=> 2x^2 + 5x + 9 = 2x^2 - 8
<=> 5x + 9 = -8
<=> 5x = -8 - 9
<=> 5x = -17
<=> x = -17/5
4) (x - 2)^3 + (x - 5)(x + 5) = x(x^2 - 5x) - 7x + 3
<=> x^3 - 4x^2 + 4x - 2x^2 + 8x - 8 + x^2 - 5^2 = x^3 - 5x^2 - 7x + 3
<=> 12x - 33 = -7x + 3
<=> 19x - 33 = 3
<=> 19x = 3 + 33
<=> 19x = 36
<=> x = 36/19
5) (x + 4)(x^2 - 4x + 16) - x(x - 4)^2 = 8(x - 3)(x + 3)
<=> x^3 - 4x^2 + 16x + 4x^2 - 16x + 64 - x^3 + 8x^2 - 16x = 8x^2 - 72
<=> -16x + 64 = -72
<=> -16x = -72 - 64
<=> -16x = -136
<=> x = 136/16 = 17/2
6) 4(x - 1)(x + 2) - 5(x + 7) = (2x + 3)^2 - 5x + 3
<=> 4x^2 + 8x - 4x - 8 - 5x - 35 = 4x^2 + 12x + 9 - 5x + 3
<=> -x - 43 = 7x + 12
<=> -8x - 43 = 12
<=> -8x = 12 + 43
<=> -8x = 55
<=> x = -55/8
7) (x - 1)(x^2 + x + 1) + 3(x - 2)^2 = x(x^2 + 3x - 1)
<=> x^3 + x^2 + x - x^2 - x - 1 + 3x^2 - 12x + 12 = x^3 + 3x^2 - x
<=> 3x^2 - 12x + 11 = 3x^2 - x
<=> -12x + 11 = -x
<=> 11 = -x + 12x
<=> 11 = 11x
<=> x = 1
8) (x + 5)(x - 5) - (x + 3)(x^2 - 3x + 9) = 5 - x(x^2 - x - 2)
<=> x^2 - 25 - x^3 + 3x^2 - 9 - 3x^2 + 9x - 27 = 5 - x^3 + x^2 + 2x
<=> -52 - x^3 = 5 - x^3 + 2x
<=> -52 = 5x + 2x
<=> -5x - 2x = 52
<=> -7x = 52
<=> x = -52/7
9) (x + 2)^2 - 2(x + 3)(x - 4) = 5 - x(x - 3)
<=> x^2 + 4x + 4 - 2x^2 + 8x - 6x + 24 = 5 - x^3 + 3x
<=> 6x + 28 = 5 + 3x
<=> 6x + 28 - 3x = 5
<=> 3x + 28 = 5
<=> 3x = 5 - 28
<=> 3x = -23
<=> x = -23/3
10) (x + 7)(x - 7) - (x + 2)^2 = 5(x - 2) + (x - 7)
<=> x^2 - 49 - x^2 - 4x - 4 = 5x - 10 + x - 7
<=> -53 - 4x = 6x - 17
<=> -4x = 6x + 36
<=> -4x - 6x = 36
<=> -10x = 36
<=> x = -36/10 = -18/5
(8x - 1)(2x - 3)) - (-x + 7)(x - 2) - 6x(x2 - x + 3) + (x2 - 3)(x - 4)
= 16x2 - 26x + 3 + x2 - 9x + 14 - 6x3 + 12x2 - 18x + x3 - 4x2 - 3x + 12
= -5x3 + 25x2 - 56x + 29
(8x - 1) (2x - 3) - (-x + 7)(x - 2) - 6x (x2 - x + 3) + (x2 - 3)(x - 4)
= 16x2-24x-2x-3+x2-2x-7x+14-6x3+6x-18x+x3-4x2-3x+12
=7x3+13x2-36x+23
(-2x2 + 5)(x - 6) - 4x(x2 - 7x + 2) - 2x(x + 3)(x - 2) - (x3 - x2)
= -2x3 + 12x2 + 5x - 30 - 4x3 + 28x2 - 8x - 2x(x2 + x - 6) - x3 + x2
= -8x3 + 41x2 - 3x - 30 - 2x3 - 2x2 + 12x
= -10x3 + 39x2 + 9x - 30
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