\(\dfrac{x^5+x^4+1}{x^2+x+1}\)
\(=\dfrac{\left(x^5+x^4+x^3\right)+\left(x^2+x+1\right)-\left(x^3+x^2+x\right)}{x^2+x+1}\)
\(=\dfrac{x^3\left(x^2+x+1\right)+\left(x^2+x+1\right)-x\left(x^2+x+1\right)}{x^2+x+1}\)
\(=\dfrac{\left(x^2+x+1\right)\left(x^3+1-x\right)\text{}}{x^2+x+1\text{}}\)
\(=x^3+1-x\text{}\)
x^5+x^4+1 phan x^2+x1
phan tich da thuc thanh nhan tu
a)x4+x2+x+1
b)11x4+4x2-5
Phan tich da thuc sau thanh nhan tu : (x+1)(x+2)(x+3)(x+4)-8
phan tich da thuc thanh nhan tu
3(x4+x2+1)-(x2+x+1)2
bai 1
a = (3x / 2x + 4 ) + (x +3 /x ^ 2 - 4 )
a . tim x de gia tri phan thuc a duoc xac dinh
b. rut gon a
c. tinh gia trin cua a khi x bang -3
d . tim gia tri cua x de phan thuc co gia tri bang 2
a) -3x(x+2)²+(x+3)(x-1)(x+1)-(2x-5)²
b) 2(x-3)(x+3)(x+2)-(x-1)(x²-3)-5x(x+4)²-(x-5)²
c) 2x (x - 4)²(x + 5)(x - 2)(x + 2)+2(x + 5)² - (x - 1)²
d) (x + 5)² - 4 x (2 x + 3)²(2 x - 1)(x + 3)(x- 3)
e) -2 x( 3 x + 2)(3 x -2)+ 5( x + 2)²- (x -1) (2 x - 1)(2x +1)
f) (7 x - 8)(7 x + 8) - 10(2x + 3)² + 5 x (3x - 2)² - 4 (x - 5)².
g) (x²- 3)(x² + 3)- 5x²(x + 1) -(x² - 3x) (x² - 2x) + 4x(x + 2)².
1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)+1/(x-5)(x-6)=1/10
rut gon phan thuc:
1 \(\dfrac{x^2-18x-19}{x^2-1}\)
2 \(\dfrac{x\left(4x^2-8x+4\right)}{2x^3-2x^2}\)
Tìm x
b) (x-5) (x-4) - (x+1)(x-2)=7
c) (3x-4)(x-2)=3x(x-9)-3
d)(x-3)(x^2+3x+9)+x(5-x^2)=6x
e) (3x-5)(x+1)-(3x-1)(x+1)=x-4