d: Ta có: \(4x\left(2x+3\right)-8x\left(x+4\right)\)
\(=8x^2+12x-8x^2-32x\)
=-20x
e: Ta có: \(2x\left(5x+2\right)+\left(2x-3\right)\left(3x-1\right)\)
\(=10x^2+4x+6x^2-2x-9x+3\)
\(=16x^2-7x+3\)
f: Ta có: \(x\left(x+2\right)^2-\left(x+1\right)^3+3\left(x-1\right)\left(x+1\right)\)
\(=x^3+4x^2+4x-x^3-3x^2-3x-1+3x^2-3\)
\(=4x^2+x-4\)
BÀI 6 tìm x
1,\(2x\left(x-5\right)-\left(3x+2x^2\right)=0\) 2,\(x\left(5-2x\right)+2x\left(x-1\right)=13\)
3,\(2x^3\left(2x-3\right)-x^2\left(4x^2-6x+2\right)=0\) 4,\(5x\left(x-1\right)-\left(x+2\right)\left(5x-7\right)=6\)
5,\(6x^2-\left(2x-3\right)\left(3x+2\right)=1\) 6,\(2x\left(1-x\right)+5=9-2x^2\)
Giải bất phương trình
a) \(\left(2x^2+1\right)+4x>2x\left(x-2\right)\)
b)\(\left(4x+3\right)\left(x-1\right)< 6x^2-x+1\)
c)\(\left(\frac{3x}{2}-1\right)^2-\frac{x}{2}\left(\frac{5x}{2}-2\right)\le0\)
d) \(\left(2x+1\right)\left(x-3\right)\left(1-5x\right)< 0\)
e)\(2x^2< 16\)
f) \(x^4>8x\)
Tìm x biết :(đề không sai )
1.\(-4x\left(x-7\right)+4x\left(x^2-5\right)\) \(=28x^2-13\)
2.\(\left(4x^2-5x\right)\left(3x+2\right)-7x\left(x+5\right)\) \(=\left(-4+x\right)\left(-2x+3\right)+12x^3+2x^2\)
3.\(\left(-4x^2-3\right)\left(2x+5\right)\) \(-\left(8x-3\right)\left(-x^2+2\right)\) \(-5x\left(x-6\right)-3x^2-4\)
4.\(\left(x-7\right)\left(x+5\right)-\left(x-3\right)\left(x-2\right)\) \(=15x^2\left(x+1\right)-\left(3x^2-1\right)\) \(\left(5x^2-2\right)-21x^2\)
5.\(\left(x-3\right)\left(-x+10\right)+\left(x-8\right)\left(x+3\right)\)\(=\left(5x^2-1\right)\left(x+3\right)-5x^3-15x^2\)
6.\(\left(-2x^2+5\right)\left(-x+3\right)-x^2\left(2x-6\right)\) \(=\left(x-1\right)\left(x+1\right)-\left(x-2\right)\left(x+4\right)\)
Giải các phương trình sau:
f. 5 – (x – 6) = 4(3 – 2x)
g. 7 – (2x + 4) = – (x + 4)
h. \(2x\left(x+2\right)^2-8x^2=2\left(x-2\right)\left(x^2+2x+4\right)\)
i. \(\left(x-2^3\right)+\left(3x-1\right)\left(3x+1\right)=\left(x+1\right)^3\)
k. (x + 1)(2x – 3) = (2x – 1)(x + 5)
-Làm tính nhân:
a. \(x^2\left(x-2x^3\right)\)
b. \(\left(x-2\right)\left(x-x^2+4\right)\)
c. \(\left(x^2-1\right)\left(x^2+2x\right)\)
d. \(\left(2x-1\right)\left(3x+2\right)\left(3-x\right)\)
e. \(\left(x+3\right)\left(x^2+3x-5\right)\)
f. \(\left(xy-2\right)\left(x^3-2x-6\right)\)
g. \(\left(5x^3-x^2+2x-3\right)\left(4x^2-x+2\right)\)
GIÚP MK NHÉ SẮP PHẢI NỘP BÀI RÙI!!!
tìm x
\(\left(8x-3\right)\left(3x+2\right)-\left(4x+7\right)\left(x+4\right)=\left(2x+1\right)\left(5x-1\right)-33\)
A)\(\left(2x-7\right)^2-6\left(2x-7\right)\left(x-3\right)=0\)
B) \(x^3+1+\left(x^2-x+1\right)=0\)
C) \(\left(3x+1\right)^2-x^2+8x-16=0\)
D)\(\left(x+1\right)\left(x-1\right)^2\left(x+1\right)\left(x-2\right)^2=0\)
E) \(\left(3x+1\right)\left(x-3\right)^2=\left(3x+1\right)\left(2x-5\right)^2\)
F) \(\left(x+5\right)\left(3x+2\right)^2=x^2\left(x+5\right)\)
Câu 1: Rút gọn các biểu thức sau:
1. \(\left(x+y-z\right)^2+\left(y-z\right)^2+2z\left(z-y\right)\)
2. \(\left(3x+4\right)^2+\left(x-4\right)^2+2\left(3x+4\right)\left(x-4\right)\)
3.\(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
4. \(2x\left(2x-1\right)^2-3x\left(x+3\right)\left(x-3\right)-4x\left(x+1\right)\)
5. \(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
Câu 2: Tìm x
1. \(4\left(x+1\right)^2+\left(2x-1\right)^2-8\left(x-1\right)\left(x+1\right)=1\)
2. \(\left(3x+1\right)^2+\left(5x-2\right)^2=34\left(x+2\right)\left(x-2\right)\)
3. \(\left(x+3\right)^2+\left(x-2\right)^2=2x^2\)
4. \(4x^2-9-x\left(2x-3\right)=0\)
5. \(4x^2-12x+9=0\)
Câu 3: Tìm GTNN
D = \(\left(2x-1\right)^2+\left(x+2\right)^2\)
Câu 4: Cho \(a^2+b^2+c^2=ab+bc+ac\) . Chứng minh rằng a=b=c
Mọi người dành thời gian giải hộ mình bài toán với:
B2: Giải các PT sau:
d) \(\left(3x-1\right)\left(x^2+2\right)=\left(3x+1\right)\left(7x-10\right)\)
e) \(\left(x+2\right)\left(3-4x\right)=x^2+4x+4\)
f) \(x\left(2x-7\right)-4x+14=0\)
g) \(3x-15=2x\left(x-5\right)\)
h) \(\left(2x+1\right)\left(3x-2\right)=\left(5x-8\right)\left(2x+1\right)\)
i) \(0,5x\left(x-3\right)=\left(x-3\right)\left(1,5x-1\right)\)
j) \(\left(2x^2+1\right)\left(4x-3\right)=\left(x-12\right)\left(2x^2+1\right)\)
k) \(x\left(2x-9\right)=3x\left(x-5\right)\)
Các Pro giải giúp mik với :(
