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\(a,-5x\left(x-3\right)\left(2x+4\right)-\left(x+3\right)\left(x-3\right)+\left(5x-2\right)\left(3x+4\right)\)
\(=-5x\left(2x^2-x-12\right)-\left(x^2-9\right)+15x^2+20x-6x-8\)
\(=-10x^3+5x^2+60x-x^2+9+15x^2+20x-6x-8\)
\(=-10x^3+19x^2+74x+1\)
\(b,\left(4x-1\right)x\left(3x+1\right)-5x^2.x\left(x-3\right)-\left(x-4\right)x\left(x-5\right)\)\(-7\left(x^3-2x^2+x-1\right)\)
\(=\left(4x^2-x\right)\left(3x+1\right)-5x^4-15x^3-\left(x^2-4x\right)\left(x-5\right)\)\(-7x^3+14x^2-7x+7\)
\(=12x^3+x^2-x-5x^4-15x^3-x^3+9x^2+20x\)\(-7x^3+14x^2-7x+7\)
\(=-5x^4-11x^3+24x^2+12x+7\)
\(c,\left(5x-7\right)\left(x-9\right)-\left(3-x\right)\left(2-5x\right)-2x\left(x-4\right)\)
\(=5x^2-52x+63-6+17x-5x^2-2x^2+8x\)
\(=-2x^2-27x+57\)
\(d,\left(5x-4\right)\left(x+5\right)-\left(x+1\right)\left(x^2-6\right)-5x+19\)
\(=5x^2+21x-20-x^3-x^2+6x+6-5x+19\)
\(=-x^3+4x^2+22x+5\)
\(e,\left(9x^2-5\right)\left(x-3\right)-3x^2\left(3x+9\right)-\left(x-5\right)\left(x+4\right)-9x^3\)
\(=9x^3-27x^2-5x+15-9x^3-27x^2-x^2+x+20-9x^3\)
\(=-9x^3-55x^2+4x+35\)
\(g,\left(x-1\right)^2-\left(x+2\right)^2\)
\(=x^2-2x+1-x^2-4x-4\)
\(=-6x-3\)
\(a,x\left(2x^2-3\right)-x^2\left(5x+1\right)+x^2\)
\(=2x^3-3x-5x^3-x^2+x^2\)
\(=-3x^3-3x\)
\(b,3x\left(x-2\right)-5x\left(1-x\right)-8\left(x^2-3\right)\)
\(=3x^2-6x-5x+5x^2-8x^2+24\)
\(=-11x+24\)
=.= hok tốt!!
a)
\(x\left(2x^2-3\right)-x^2\left(5x+1\right)+x^2=x\left(2x^2-3-5x^2-x+x\right)\)
=\(x\left(-3x^2-3\right)=-3x\left(x^2+1\right)\)
b)
Nhân ra:
\(3x^2-6x-5x+5x^2-8x^2+24=-11x+24\)
Chúc bạn học tốt!
Trả lời:
A = ( - 5x + 4 ) ( 3x - 2 ) + ( - 2x + 3 ) ( x - 2 )
= - 15x2 + 10x + 12x - 8 - 2x2 + 4x + 3x - 6
= - 17x2 + 29x - 14
Thay x = - 2 vào A, ta có:
A = - 17.( - 2 )2 + 29. ( - 2 ) - 14 = - 140
A=(-5x+4)(3x-2)+(-2x+3)(x-2)
A=-15x2+10x+12x-8-2x2+4x+3x-6
A=-17x2+29x-14
Tại x=-2
=> A=-17.(-2)2+29.(-2)-14=-140
#H
C = ( -5x + 4 )( 3x - 2 ) + ( -2x + 3 )( x - 2 )
C = -5x( 3x - 2 ) + 4( 3x - 2 ) - 2x( x - 2 ) + 3( x - 2 )
C = -15x2 + 10x + 12x - 8 - 2x2 + 4x + 3x - 6
C = -17x2 + 29x - 14
Với x = -2 ta có :
C = -17.(-2)2 + 29.(-2) - 14 = -140
D = ( x - 5 )( -3x + 1 ) - 3( x - 2 )( 2x - 1 )
D = x( -3x + 1 ) - 5( -3x + 1 ) - 3( 2x2 - 5x + 2 )
D = -3x2 + x + 15x - 5 - 6x2 + 15x - 6
D = -9x2 + 31x - 11
Với x = 1/3 ta có :
D = -9.(1/3)2 + 31.1/3 - 11 = -5/3
b/ \(4\left(x-1\right)\left(x+1\right)-5x\left(x-2\right)+x^2\)
= \(4\left(x^2-1\right)-5x^2+10x+x^2\)
= \(4x^2-4-5x^2+10x+x^2\)
= \(10x-4\)
= \(2\left(5x-2\right)\)
c/ \(\left(3-2x\right)\left(x-2\right)+4\left(x-1\right)\left(x-3\right)-2\left(x-2\right)\left(x+2\right)\)
= \(3x-6-2x^2+4x+4\left(x^2-4x-4\right)-2\left(x^2-4\right)\)
= \(3x-6-2x^2+4x+4x^2-16x-16-8x^2-18\)
= \(-9x-12\)
= \(-3\left(3x+4\right)\)
-(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