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a ) \(\left(3x^2-4x+5\right)\left(2x^2-4\right)-2x\left(3x^3-4x^2+8\right)\)
\(=\left(3x^2-4x+5\right).2x^2-4\left(3x^2-4x+5\right)-6x^4+8x^3-16x\)
\(=6x^4-8x^3+10x^2-12x^2+16x-20-6x^4+8x^3-16x\)
\(=\left(6x^4-6x^4\right)+\left(8x^3-8x^3\right)-\left(12x^2-10x^2\right)+\left(16x-16x\right)-20\)
\(=-2x^2-20\)
b ) \(\left(1-3x+x^2\right)\left(2-4x\right)+2x\left(2x^2+5\right)\)
\(=2\left(1-3x+x^2\right)-4x\left(1-3x+x^2\right)+4x^3+10x\)
\(=2-6x+2x^2-4x+12x^2-4x^3+4x^3+10x\)
\(=\left(4x^3-4x^3\right)+\left(12x^2+2x^2\right)+\left(10x-6x-4x\right)+2\)
\(=14x^2+2\)
a) \(3\left(2x-1\right)-x\left(3x-2\right)=3x\left(1-x\right)+2\)
\(6x-3-3x^2+2x=3x-3x^2+2\)
\(6x-3x^2+2x-3x+3x^2=2+3\)
\(5x=5\)
\(x=1\)
b) \(2x^3\left(2x-3\right)-x^2\left(4x^2-6x+2\right)=0\)
\(4x^4-6x^3-4x^4+6x^2-2x^2=0\)
\(-2x^2=0\)
\(x^2=0\)
\(x=0\)
\(\left(x^2+x+1\right)\left(x^3-x^2+1\right)\)
\(=x^5+x^4+x^3-x^4-x^3-x^2+x^2+x+1\)
\(=x^5+x+1\)
a) 2x(3x^2 -5x + 3) = 6x^3 - 10x^2 + 6x
b) -2x(x^2 +5x-3) = -2x^3 - 10x^2 + 6x
c) 2 dấu trừ liền nhau??
bài 2:
a) \(\left(2x-1\right)\left(x^2+1\right)=2x^3-x^2+2x-1\)
b) \(-\left(5x-4\right)\left(2x+3\right)=-\left(10x^2-8x+15x-12\right)=-10x^2-7x+12\)
c) \(\left(2x-y\right)\left(4x^2-2xy+y^2\right)=8x^3-4x^2y-4x^2y+2xy^2+2xy^2-y^3=8x^3-8x^2y+2xy^2-y^3\)
d) \(\left(3x-4\right)\left(x+4\right)+\left(5-x\right)\left(2x^2+3x-1\right)=3x^2+8x-16+10x^2-2x^3+15x-3x^2-5+x=10x^2+24x-21\)
e) \(7x\left(x-4\right)-\left(7x+3\right)\left(2x^2-x+4\right)=7x^2-28x-\left(14x^3+6x^2-7x^2-3x+28x+12\right)=-14x^2+8x^2-53x-12\)
a: \(=\dfrac{4x^2+4x+1-\left(4x^2-4x+1\right)}{\left(2x-1\right)\left(2x+1\right)}\cdot\dfrac{5\left(2x-1\right)}{4x}\)
\(=\dfrac{8x}{2x+1}\cdot\dfrac{5}{4x}=\dfrac{10}{2x+1}\)
c: \(=\dfrac{1}{x-1}-\dfrac{x\left(x-1\right)\left(x+1\right)}{x^2+1}\cdot\left(\dfrac{x+1-x+1}{\left(x-1\right)^2\cdot\left(x+1\right)}\right)\)
\(=\dfrac{1}{x-1}-\dfrac{x}{x^2+1}\cdot\dfrac{2}{\left(x-1\right)}=\dfrac{x^2+1-2x}{\left(x-1\right)\left(x^2+1\right)}=\dfrac{x-1}{x^2+1}\)
khó quá!
mà x có giá trị là mấy vậy bạn!
có BẠN NÀO ĐỒNG TÌNH VỚI MÌNH KO THÌ XIN CHO TÍCH ĐI
AZÔ!!!!!!!