a) \(4x.\left(2-x\right)+\left(2x+1\right)^2=2\)
\(8x-4x^2+4x^2+4x+1=2\)
\(12x+1=2\)
\(12x=2-1\)
\(12x=1\)
\(x=\frac{1}{12}\)
b) \(\left(x+3\right)^2-5.\left(x+3\right)=0\)
\(\left(x+3\right).\left(x+3-5\right)=0\)
\(\left(x+3\right).\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+3=0\\x-2=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=-3\\x=2\end{cases}}\)
Bài 1 : giải phương trình
a) (8x + 3)(2x - 1) = (2x - 1)2
b) (x - 5)2 - 36 = 0
c) (4x - 3)2 - 4(x + 3)2
d) x3 - 3x -2 = 0
e) x3 + 2x2 - 4x - 8 = 0
Rút gọn các biểu thức sau
a) (2x-1)2-3(x-1)(x+2)-(x-3)2
b) (x-2)(2x-1)-3(x+1)2-4x(x+2)
c) (x+2)(x2-3x+1)+(1-x)3
d) 3(x+2)(x-2)+(x-1)(2x+5)
Bài 1 : Phân tích đa thức thành nhân tử
a) 5x^2y-20xy^2
b) 1-8x+16x^2-y^2
c) 4x-4-x^2
d) x^3-2x^2+x-xy^2
e)27-3x^2
f) 2x^2+4x+2-2y^2
Bài 2: tìm x, biết
a) x^2(x-2023)-2023+x=0
b) -x(x-4)+(2x^3-4x^2-9x):x=0
c) x^2+2x-3x-6=0
d) 3x(x-10)-2x+20=0
Giải các phương trình sau:
a,4x-2(x+1)=3x+2
b,x+2-2(x+1)=-x
c,2(x+3)-5=4-x
d,3x-2=1
e,2x-1=0
f,4x+3=-1
g,3x+2=-1
Giải các phương trình sau:
a,4x-2(x+1)=3x+2
b,x+2-2(x+1)=-x
c,2(x+3)-5=4-x
d,3x-2=1
e,2x-1=0
f,4x+3=-1
g,3x+2=-1
a)9x2 – 49 = 0
b)(x – 1)(x + 2) – x – 2 = 0
c)(4x + 1)(x - 2) - (2x -3)(2x + 1) = 7
d)x(3x + 2) + (x + 1)2 – (2x – 5)(2x + 5) = 0
e)(x + 3)(x2 – 3x + 9) –x(x – 1)(x + 1) – 27 = 0
f)(4x-3)^2-3x(3-4x)=0
Tìm x
a) (x + 3)2 + (x + 2)(5 – x) = 1
b/ (2x – 1)2 – ( x – 5)( 4x + 3) = 3
c/ 3x (x – 2) + 4x – 8 = 0
d/ 2x (3x + 5) – 18x – 30 = 0
1) (x^3 - x^2)- 4x^2 + 8x - 4 = 0
2) 2x^3 - 50x = 0
3) (x + 1) = ( x + 1)(x - 1)
4) ( 3x+1)^2-4(X-3)^2=0
5)(X+3)(X^2-5X+9)-X^3=2X
6) (4X+3)^2-(4X-3)^2-5X-2=0
7)(X-1)^3-(X-3)(X^2+3X+9)-3X(2-X)=5
rút gọn biểu thức
a)A= (2x - 3)^2 - (2x + 3)^2
b)B= (x +1)^2 -2 (2x-1) (1+ x) +4x^2 - 4x + 1
1.16x^3y + 0,25yz^3
2.x ^4 – 4x^3 + 4x^2
3.2ab^2 – a^2b – b^3
4.a^3 + a^2b – ab^2 – b^3
5.x^3 + x^2 – 4x - 4
6.x ^3 – x^2 – x + 1
7.x ^4 + x^3 + x^2 – 1
8.x ^2y^2 + 1 – x^2 – y^2
9.x^4 – x^2 + 2x – 1
10.3a – 3b + a^2 – 2ab + b^2
