Tìm Min (Max)
A= 3x2+4x+5
B= -4x2+5x
C= 3x2-4+4x
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\(a,=2x^3y+2x^2y^2-6xy^3\\ b,=3x^3+6x^2-4x-8\\ c,=\left(4x^2+16x-20x-80+76\right):\left(x+4\right)\\ =\left[\left(x+4\right)\left(4x-20\right)+76\right]:\left(x+4\right)\\ =4x-20\left(dư.76\right)\\ d,=\left(x^4-x^2-x^3+x-2x^2+2\right):\left(x^2-1\right)\\ =\left(x^2-1\right)\left(x^2-x-2\right):\left(x^2-1\right)\\ =x^2-x-2\)
A = \(4x^2-3x+7x^2+2x-5\)
\(11x^2-3x+2x-5\)
\(11x^2-x-5\)
B = \(3x+7y-6x-8+y-2\)
\(3x+7y-6x-10+y\)
\(- 3x+7y-10+y\)
\(3x+8y-10\)
C = chịu
D= \(6x^4-3x^2+x^2-4x+3.4-x+2\)
\(6x^4-3x^2+x^2-4x;12-x+2\\ \)
\(6x^4-3x^2+x^2-4x+14-x\)
\(6x^4-2x^2-4x+14-x\)
\(6x^4-2x^2-5x+14\)
a: \(=\dfrac{2x\left(3x^2+2\right)+3x^2+2}{3x^2+2}=2x+1\)
b:
Sửa đề: 6x^4-4x^3+3x-2/3x-2
\(=\dfrac{6x^4-4x^3+3x-2}{3x-2}\)
\(=\dfrac{2x^3\left(3x-2\right)+3x-2}{3x-2}=2x^3+1\)
\(a,=4x^2+3xy-y^2+4xy-4x^2=7xy-y^2\\ b,=x^2-9-x^3+3x+x^2-3=-x^3+2x^2+3x-12\\ c,=-2x^2+12x-18+5x^2+4x-1=3x^2+16x-19\\ d,=8x^3+1-3x^3+6x^2=5x^3+6x^2+1\\ e,=\left(3x^2+4x+15x+20\right):\left(3x+4\right)\\ =\left(3x+4\right)\left(x+5\right):\left(3x+4\right)\\ =x+5\\ f,=\left(x^3+4x^2-3x+3x^2+12x-9+3x+3\right):\left(x^2+4x-3\right)\\ =\left[\left(x^2+4x-3\right)\left(x+3\right)+3x+3\right]:\left(x^2+4x-3\right)\\ =x+3\left(dư.3x+3\right)\)
a) \(\left(x^3+3x^2-8x-20\right)\div\left(x+2\right)\)
\(=\left[\left(x^3+2x^2\right)+\left(x^2+2x\right)-\left(10x+20\right)\right]\div\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2+x-10\right)\div\left(x+2\right)\)
\(=x^2+x-10\) \(\left(x\ne-2\right)\)
b,c bn tự đặt chia
a) A = x2 - 4y2 + 2x + 4y = (x-2y)(x+2y)+2(x+2y)=(x+2y)(x-2y+2)
b) A = 4x2 - 9y2 - 4x - 6y=(2x-3y)(2x+3y)-2(2x+3y)=(2x+3y)(2x-3y-2)
c) A = 3x2 - 3xy - 5x + 5y=3x(x-y)-5(x-y)=(x-y)(3x-5)
a) \(A=x^2-4y^2+2x+4y=\left(x-2y\right)\left(x+2y\right)+2\left(x+2y\right)=\left(x+2y\right)\left(x-2y+2\right)\)
b) \(A=4x^2-9y^2-4x-6y=\left(2x-3y\right)\left(2x+3y\right)-2\left(2x+3y\right)=\left(2x+3y\right)\left(2x-3y-2\right)\)
c) \(A=3x^2-3xy-5x+5y=3x\left(x-y\right)-5\left(x-y\right)=\left(x-y\right)\left(3x-5\right)\)
`A(x)+B(x)=(5x^4 -4x^2 +x-2)+(x^4 +3x^2 -4x)`
`=5x^4 -4x^2 +x-2+x^4 +3x^2 -4x`
`=5x^4 +x^4 -4x^2 +3x^2 +x-4x-2`
`=6x^4 -x^2 -3x-2`