\(a,-3x^2+7x-9+\left(x-1\right)\left(x+2\right)\\ =-3x^2+7x-9+x^2-x+2x-2\\ =\left(-3x^2+x^2\right)+\left(7x-x+2x\right)-\left(9+2\right)\\ =-2x^2+8x-11\\ b,x\left(x-5\right)-2x\left(x+1\right)\\ =x^2-5x-2x^2-2x\\ =\left(x^2-2x^2\right)-\left(5x+2x\right)\\ =-3x^2-7x\\ c,4x\left(x^2-x+1\right)-\left(x-1\right)\left(x^2-x\right)\\ =4x^3-4x^2+4x-x\left(x^2-x\right)+x^2-x\\ =4x^3-4x^2+4x-x^3+x^2+x^2-x\\ =\left(4x^3-x^3\right)+\left(-4x^2+x^2+x^2\right)+\left(4x-x\right)\\ =3x^3-2x^2+3x\\ =x\left(3x^2-2x+3\right)\)

\(d,-5x\left(x-5\right)+\left(x-3\right)\left(x^2-7\right)\\ =-5x^2+25x+x\left(x^2-7\right)-3\left(x^2-7\right)\\ =-5x^2+25x+x^3-7x-3x^2+21\\ =\left(-5x^2-3x^2\right)+\left(25x-7x\right)+x^3+21\\ =-8x^2+x^3+18x+21\)

\(P=\left(5x-1\right)+2\left(1-5x\right)\left(4+5x\right)+\left(5x+4\right)^2\)

\(P=5x-1+\left(2-10x\right)\left(4+5x\right)+\left(5x+4\right)^2\)

\(P=5x-1+8+10x-40x-50x^2+25x^2+40x+16\)

\(P=\left(25x^2-50x^2\right)+\left(5x+10x-40x+40x\right)+\left(-1+8+16\right)\)

\(P=-25x^2+15x+23\)

P=(5x−1)+2(1−5x)(4+5x)+(5x+4)2

�=5�−1+(2−10�)(4+5�)+(5�+4)2P=5x−1+(2−10x)(4+5x)+(5x+4)2

�=5�−1+8+10�−40�−50�2+25�2+40�+16P=5x−1+8+10x−40x−50x2+25x2+40x+16

�=(25�2−50�2)+(5�+10�−40�+40�)+(−1+8+16)P=(25x2−50x2)+(5x+10x−40x+40x)+(−1+8+16)

�=−25�2+15�+23P=−25x2+15x+23

   P = (5x − 1) + 2(1 − 5x)(4 + 5x) +  5 x + 4 2

      = 5x – 1 + (2 – 10x).( 4+ 5x) +  5 x + 4 2

      = 5x – 1 + 8 + 10x – 40x – 50 x 2  + 25 x 2  + 40x + 16

      = (- 50 x 2  + 25 x 2 )+ ( 5x + 10x – 40x + 40x) + (- 1+ 8 + 16)

      = -25 x 2  + 15x + 23

ii) (5x + 1)2 + (5x – 1)2 + 2(5x + 1)(5x – 1)

= [(5x + 1) + (5x - 1)]2

= (10x)2 = 100x2

DỀ sai ròi kìa 

P = ( 5x- 1) ^2 + 2 ( 1 - 5x) .(4+5x) + (5x+4)^2

    = (5x- 1 )^2 - 2 ( 5x- 1).(5x+4) + (5x+4)^2

    =  (5x - 1 - 5x - 4) ^2 = ( - 5)^2 = 25

(**** )

để bn í ghi đúng mừ

 P = (5x - 1) + [(-2).(-1).(1-5x).(4+5x)] + (5x+4)^2
= (5x - 1).[(-1)-2.(-1).(4+5x)] + (25x^2+40x+16)
= [(5x - 1).(10x + 7)] + (25x^2+40x+16)
= 50x^2 +35x - 10x - 7 + 25x^2+40x+16
= 75x^2 + 65x -9

-25x^2+15x+23

p = ( 5x -1 ) +2 . (5x+4)²

 P = (5x - 1) + [(-2).(-1).(1-5x).(4+5x)] + (5x+4)^2
= (5x - 1).[(-1)-2.(-1).(4+5x)] + (25x^2+40x+16)
= [(5x - 1).(10x + 7)] + (25x^2+40x+16)
= 50x^2 +35x - 10x - 7 + 25x^2+40x+16
= 75x^2 + 65x -9

x(2 x 2  – 3) –  x 2 (5x + 1) +  x 2

= x. 2 x 2  + x.(- 3) – ( x 2 . 5x +  x 2  .1) +  x 2

= (2 x 3  – 3x) – (5 x 3  +  x 2 ) +  x 2

= 2 x 3  – 3x – 5 x 3  –  x 2  +  x 2

= -3x – 3 x 3