Tìm x, biết:
\(\left(x-3\right)^3-\left(x-3\right)\left(x^3-3x+9\right)+9\left(x+1\right)^2=15\)
1.rút gọn biểu thuc P=\(\dfrac{2}{x+3}+\dfrac{1}{x-3}+\dfrac{9-x}{9-x^2}\) với x\(\ne-3vàx\ne3\)
2.thực hiện phép tính \(\left(2x^4-3x^3-3x^2+6x-1\right):\left(x^2-2\right)\)
\(\left(15x^4y^6-12^3y^4-18x^2y^3\right):\left(-6x^2y^2\right)\)
Tìm x
\(\left(x+2\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+6\left(x+1\right)^2=49\)
Bài 1 : dùng hẳng đẳng thức để khai triển và thu gọn
a) \(\left(2x^2+\frac{1}{3}\right)^3\)
b) \(\left(2x^2y-3xy\right)^3\)
c) \(\left(-3xy^4+\frac{1}{2}x^2y^2\right)^3\)
d) \(\left(-\frac{1}{3}ab^2-2a^3b\right)^3\)
e) \(\left(x+1\right)^3-\left(x-1\right)^3-6.\left(x-1\right).\left(x+1\right)\)
f) \(x.\left(x-1\right).\left(x+1\right)-\left(x+1\right).\left(x^2-x+1\right)\)
g) \(\left(x-1\right)^3-\left(x+2\right).\left(x^2-2x+4\right)+3.\left(x-4\right).\left(x+4\right)\)
h) \(3x^2.\left(x+1\right).\left(x-1\right)+\left(x^2-1\right)^3-\left(x^2-1\right).\left(x^4+x^2+1\right)\)
k) \(\left(x^4-3x^2+9\right).\left(x^2+3\right)+\left(3-x^2\right)^3-9x^2.\left(x^2-3\right)\)
l) \(\left(4x+6y\right).\left(4x^2-6xy+9y^2\right)-54y^3\)
Tìm x sao cho: \(\left(x-2\right)^3+\left(2x+1\right)^3-9\left(x+1\right)^3=-16\)
Giải phương trình
\(\left(x^2+x+1\right)^2=3\left(x^4+x^2+1\right)\)
\(x\left(x+1\right)\left(x-1\right)\left(x+2\right)=24\)
\(2x\left(8x-1\right)^2\left(4x-1\right)=9\)
\(\left(12x+7\right)^2\left(3x+2\right)\left(2x+1\right)=3\)
tìm x
a.\(\left(x-2\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+6\left(x+1\right)^2\)
b.(x+2)(\(x^2-2x+4\))-x(x\(^2\)+2)=15
c.(3x+5)\(^2\)-2(2x+3)(3x+5)+(2x+3)\(^2\)=(x+2)\(^3\)
Bài 2: tìm x, biết:
a,\(\left(2x-1\right)^2_{ }-19=45\)
b,\(\left(x-3\right)^2-x\left(x-7\right)=12\)
c,\(x^2-4+3x\left(x-2\right)=0\)
d,\(x^2-9=3\left(x-3\right)\)
e,\(3\left(3x^2+1\right)=6-2\left(3x+2\right)\)
h,\(2x\left(x+3\right)-4\left(x+3\right)=0\)
SAVE ME!!!THANK YOU
( \(\dfrac{x+1}{2\left(x-1\right)}+\dfrac{3}{x^2-1}-\dfrac{x+3}{2x+2}\) ). \(\dfrac{4x^2-4}{5}\)
\(\dfrac{x}{x-3}-\dfrac{x^2+3x}{2x+3}.\left(\dfrac{x+3}{x^2-3x}-\dfrac{x}{x^2-9}\right)\)
\(\left(\dfrac{x+1}{x}\right)^2:\left(\dfrac{x^2+3}{x^2}+\dfrac{2}{x+1}.\left(\dfrac{1}{x}+1\right)\right)\)