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![](https://rs.olm.vn/images/avt/0.png?1311)
\(a.x\left(x-5\right)\left(x+5\right)-\left(x+2\right)\left(x^2-2x+4\right)=3\)
\(\Leftrightarrow x\left(x^2-5^2\right)-\left(x^3+2^3\right)=3\)
\(\Leftrightarrow x^3-25x-x^3-8=3\)
\(\Leftrightarrow x^3-x^3-25x=8+3\)
\(\Leftrightarrow x=\frac{11}{-25}\)
Vậy x có nghiệm là \(\frac{-11}{25}.\)
\(\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A | B |
1.(x3-3x2+3x-1):(x-1) | a.x2-2x+1 |
2.(x+3)(x2-3x+9) | b.(x2+3)(x-1) |
3. x4+3x-x3-3 | c. 27+x3 |
Nối: 1--a ; 2--c ;3 -- b |
![](https://rs.olm.vn/images/avt/0.png?1311)
c) 5(x^2+8x+16)+4(x^2-10x+25)-9(x^2-16)
=5x^2+40x+80+4x^2-40x+100-9x^2+144
=80+100+144
=324
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(=x^3-27-x^3-27x+x+27=-26x\)
b: \(=x^2-14x-10x^2+20x-10=-9x^2+6x-10\)
c: \(\Leftrightarrow2x^2-4x-4x^2-6x+2x+3=0\)
=>3=0(vô lý)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)(3x-1)2+2(3x-1)(2x+1)2(2x+1)=48x^4+56x^3+21x^2-12x-1 cái này tra google
b)(x2+1)(x-3)-(x-3)(x2+3x+9)=(x2+1)(x-3)-(x-3)(x+3)2=(x-3)[(x2+1)-(x+3)2 ]
c)(2x+3)2+(2x+5)2-2(2x+3)(2x+5)=(2x+3)2+(2x+5)2-(2x+3)(2x+5)-(2x+3)(2x+5)=(2x+3)(2x+3-2x+5)+(2x+5)(2x+5-2x+3)
=8(2x+3)+8(2x+5)=8(2x+3+2x+5)
=8(4x+8)
d)(x-3)(x+3)-(x-3)2 =(x-3)(x+3)-(x-3)(x-3)=(x-3)(x+3-x-3)=0
e)(2x+1)2+2(4x2-1)+(2x-1)2 =(2x+1)2+2[(2x)2 -1]+(2x-1)2 =(2x+1)(2x+1+2x-1)+(2x-1)(2x+1+2x-1)=4x(2x+1)+4x(2x-1)
=4x(2x+1+2x-1)=16x2
f)(x2-1)(x+2)-(x-2)(x2+2x+4)= (x2-1)(x+2)-(x-2)(x+2)2 =(x2-1)(x+2)-(x2-22)(x+2)=(x+2)(x2-1-x2-22) mình đoán câu f khai triển ra thế này nhưng kq không giống nhau nên chắc bạn phải tự làm rồi
b) \(\left(x+3\right)\left(x^2-3x+9\right)-x\left(x-1\right)\left(x+1\right)=14\)
\(\Rightarrow x^3+3^3-x\left(x^2-1^2\right)=14\)
\(\Rightarrow x^3+27-x^3+x=14\)
\(\Rightarrow27+x=14\)
\(\Rightarrow x=14-27=-13\)
c) \(3\left(x-1\right)^2-3x\left(x-5\right)=1\)
\(\Rightarrow3.\left(x^2-2x+1\right)-3x^2+15x=1\)
\(\Rightarrow3x^2-6x+3-3x^2+15x=1\)
\(\Rightarrow9x+3=1\)
\(\Rightarrow9x=1-3=-2\)
\(\Rightarrow x=-\frac{2}{9}\)