A = (x - 1)(x + 3) - (x - 2)(5x - 4)

A = x²  + 2x - 3 - 5x² + 14x - 8

A = -4x² + 16x - 11

B = (3a - 2b)(9a² + 6ab - 4b²)

B = 27a³ + 18a²b - 12ab² - 18a²b - 12ab² + 8b³

B = 27a³ -24ab² + 8b³

C = (x - 1)(x + 1) - (2x - 3)(4 - 5x)

C = x² - 1 - 8x + 10x + 12 - 15x

C = x² - 13x + 11

-(5x - 3)(2x + 4) - (x + 7)(x - 3) + (5x - 2)(3x + 4)

= -(10x² + 20x - 6x - 12) - (x² - 3x + 7x - 21) + (15x² + 20x - 6x - 8)

= -10x² - 20x + 6x + 12 - x² + 3x - 7x + 21 + 15x² + 20x - 6x - 8

= 4x² - 4x + 25

\(4.\left(3x+y\right)^2+\left(x+y\right)^2\) 

\(=3x^2+6xy+y^2+x^2-2xy+y^2\) 

\(=9x^2+6xy+y^2+x^2-2xy+y^2\)

\(=10x^2-4xy+2y^2\) 

\(7.\left(x-4\right)^2+\left(x+4y\right)\) 

\(=x^2-8x+16+x+4y\) 

\(=x^2-7x+16+4y\) 

\(10.\left(2x+7\right)^2+\left(-2x-3\right)^2\) 

\(=4x^2+28x+49+4x^2+12x+9\) 

\(=8x^2+40x+58\)

\(12.-\left(x+1\right)^2-\left(x-1\right)^2\) 

\(=-\left(x^2+2x+1\right)-\left(x^2-2x+1\right)\) 

\(=-x^2-2x-1+x^2+2x-1\)  

\(=4x\) 

\(5.-\left(x+5\right)^2-\left(x-3\right)^2\) 

\(=-\left(x^2+10x+25\right)-\left(x^2-6x+9\right)\) 

\(=-x^2-10-25+x^2+6x-9\) 

\(=-16x-16\) 

\(8.-\left(-2x+3\right)^2-\left(5x-3\right)^2\) 

\(=4x^2+12x+9-25x^2+30x-9\) 

\(=-21x^2+42x\)

\(11.-\left(2x-y\right)^2-\left(x+3y\right)^2\) 

\(=-4x^2+4xy-y^2-\left(x^2+6xy+9y^2\right)\) 

\(=-4x^2+4xy-y^2-x^2-6xy-9y^2\) 

\(=-5x^2-2xy-10y^2\)

4: =9x^2+6xy+y^2+x^2-2xy+y^2

=10x^2+4xy+2y^2

5: =-x^2-10x-25-x^2+6x-9

=-4x-34

7; \(=x^2-8xy+16y^2+x+4y\)

10: \(=4x^2+28x+49+4x^2+12x+9\)

=8x^2+40x+58

11: =-4x^2+4xy-y^2-x^2-6xy-9y^2

=-5x^2-2xy-10y^2

\(a,-5x\left(x-3\right)\left(2x+4\right)-\left(x+3\right)\left(x-3\right)+\left(5x-2\right)\left(3x+4\right)\)

\(=-5x\left(2x^2-x-12\right)-\left(x^2-9\right)+15x^2+20x-6x-8\)

\(=-10x^3+5x^2+60x-x^2+9+15x^2+20x-6x-8\)

\(=-10x^3+19x^2+74x+1\)

\(b,\left(4x-1\right)x\left(3x+1\right)-5x^2.x\left(x-3\right)-\left(x-4\right)x\left(x-5\right)\)\(-7\left(x^3-2x^2+x-1\right)\)

\(=\left(4x^2-x\right)\left(3x+1\right)-5x^4-15x^3-\left(x^2-4x\right)\left(x-5\right)\)\(-7x^3+14x^2-7x+7\)

\(=12x^3+x^2-x-5x^4-15x^3-x^3+9x^2+20x\)\(-7x^3+14x^2-7x+7\)

\(=-5x^4-11x^3+24x^2+12x+7\)

\(c,\left(5x-7\right)\left(x-9\right)-\left(3-x\right)\left(2-5x\right)-2x\left(x-4\right)\)

\(=5x^2-52x+63-6+17x-5x^2-2x^2+8x\)

\(=-2x^2-27x+57\)

\(d,\left(5x-4\right)\left(x+5\right)-\left(x+1\right)\left(x^2-6\right)-5x+19\)

\(=5x^2+21x-20-x^3-x^2+6x+6-5x+19\)

\(=-x^3+4x^2+22x+5\)

\(e,\left(9x^2-5\right)\left(x-3\right)-3x^2\left(3x+9\right)-\left(x-5\right)\left(x+4\right)-9x^3\)

\(=9x^3-27x^2-5x+15-9x^3-27x^2-x^2+x+20-9x^3\)

\(=-9x^3-55x^2+4x+35\)

\(g,\left(x-1\right)^2-\left(x+2\right)^2\)

\(=x^2-2x+1-x^2-4x-4\)

\(=-6x-3\)

Dễ nhưng mà dài chết người 

giải dùm mình với đi ạ,mình cảm ơn

Bài 1 : 

x²-2x+2>0 với mọi x

=x²-2.x.1/4+1/16+31/16

=(x-1/4)² + 31/16

Vì (x-1/4)² \(\ge\) 0 nên (x-1/4)² + 31/16 \(\ge\) 0 với mọi x (đfcm)

thanks

Bài 1:

\(a,6x^2-15x^3y\\ b,=-\dfrac{2}{3}x^2y^3+\dfrac{2}{3}x^4y-\dfrac{8}{3}xy\)

Bài 2:

\(a,=20x^3-10x^2+5x-20x^3+10x^2+4x=9x\\ b,=3x^2-6x-5x+5x^2-8x^2+24=24-11x\\ c,=x^5+x^3-2x^3-2x=x^5-x^3-2x\)

câu d của bài 2 là của bài 1 nha mình để nhầm chỗ huhu