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2x^4 + x^3 - x^2 - 4x - 2 2x^2 - x - 2 x^2 + x + 1 2x^4 - x^3 - 2x^2 2x^3 + x^2 - 4x 2x^3 - x^2 - 2x 2x^2 - 2x - 2 2x^2 - x - 2 -x
\(\left(2x^4+x^3-x^2-4x-2\right):\left(2x^2-x-2\right)=x^2+x+1-\frac{x}{2x^2-x-2}\)
a) 2(x-1)2 - 4(x+3)2 + 2x(x-5)
= 2(x2 -2x +1)- 4(x2 + 6x +9) + 2x2 -10x
= 2x2 - 4x + 2 -4x2 - 24x - 36 + 2x2 - 10x
= (2x2 + 2x2 - 4x2) - (4x + 24x+10x) +(2-36)
= -38x-34
b) 2(2x+5)2 -3(4x+1)(1-4x)
= 2(4x2 + 20x + 25) + 3(4x+1)(4x-1)
= 8x2 +40x + 50 + 3(16x2 -1)
= 8x2 + 40x + 50 + 48x2 - 3
=56x2 +40x + 47
a, \(2\left(x-1\right)^2-4\left(x+3\right)^2+2x\left(x-5\right)\)
\(=2\left(x^2-2x+1\right)-4\left(x^2+6x+9\right)+2x\left(x-5\right)\)
\(=2x^2-4x+2-4x^2-24x-36+2x^2-10=-28x-44\)
b, \(2\left(2x+5\right)^2-3\left(4x+1\right)\left(1-4x\right)\)
\(=2\left(4x^2+20x+25\right)-3\left(1-16x^2\right)\)
\(=8x^2+40x+50-3+48x^2=56x^2+40x+47\)
a.\(2x\left(7x^2-5x-1\right)=14x^3-10x^2-2x\)
b.\(-2x^3\left(2x^2-3y+5yz\right)=-4x^5+6x^3y-10x^3yz\)
c.\(\left(2x-y\right)\left(4x^2-2xy+y^2\right)=2x\left(4x^2-2xy+y^2\right)-y\left(4x^2-2xy+y^2\right)\)
\(=8x^2-4x^2y+4xy^2-4x^2y+2xy^2-y^3\)
a.2x(7x2−5x−1)=14x3−10x2−2x
b.−2x3(2x2−3y+5yz)=−4x5+6x3y−10x3yz
c.(2x−y)(4x2−2xy+y2)=2x(4x2−2xy+y2)−y(4x2−2xy+y2)
=8x2−4x2y+4xy2−4x2y+2xy2−y3
a) \(\left(x+2\right)^3-x^2.\left(x+6\right)\)
\(=x^3+6x^2+12x+8-x^3-6x^2\)
\(=12x+8\)
b) \(\left(x-2\right)\left(x+2\right)-\left(x+1\right)^3-2x.\left(x-1\right)^2\)
\(=x^2-4-x^3-3x^2-3x-1-2x^3+4x^2-2x\)
\(=-3x^3+2x^2-5x-5\)