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\(\left(x+1\right)\left(x^2-x+1\right)=x^3-x^2+x+x^2-x+1\)
\(=x^3+1\)
Chúc bạn học tốt!!!
(x+1)(x^2-x+1)
= x^3-x^2+x+x^2-x+1
= x^3-x^2+x^2+x-x+1
= x^3+1
thực hiện phép tính :
a)2x^2+3(x-1)(x+1)-5x(x+1)
b) (8-5x)(x+2)+4(x-2)(x+1)+2(x-2)(x+2)+10
c) 4(x-1)(x+5)-(x+2)(x+5)-3(x-1)(x+2)
1. (2x +3) (x- 5) +(X-4 ) + (x-5) ( x-2 0 = (3x -5) ( x-4)
2. (8x-3) (3x +2) - (4x+ 7) (x+4) = (2x + 1) (5x-1)
3. 2x^2 + (x -1) (x+1)= 5x (x+10
4. 4- ( x-1) (x+5) - (x+2) (x+5) = 3(x-1) (x+2)
1) (\(\dfrac{1}{2}\)x + 3)*(x2- 4x- 6)
2) (6x2 -9x +15)*(\(\dfrac{2}{3}\)x+1)
3) (3x2 -x+5)*(x3+5x-1)
4) (x-1)*(x+1)*(x-2)
5) D=(x-7)*(x+5)-(x-4)*(x+3)
6) E= 4x*(x2-x-1)-(x+3)*(x2-2)
7) F= 5x*(x-3)*(x-1)-4x*(x2-2x)
Bài 1
1) (x^2-2x+3)*(x-4)
2) (2x^2-3x-1)*(5x+2)
3) (x^2-2xy+y^2)*(y^2+2xy+x^2+1)
4) (x-7)*(x+5)*(x-5)
5) (x+2y)*(x-y)
6) (x+5)*(x^2-2x+3)
7) 2x(x+5)*(x-1)
8) (x-2y)*(x+2y)
9) (x-1)*(x^2+x+1)
10) (1-2x^2+x)*(x-4+x^2)
Tính(rút gọn)
1, x^ 2 - 2x + 5 - (x - 7)(x + 2)
2,-5x(x-5)+(x-3)(x^2-7)
3, x(x^2-x-2)-(x+5)(x-1)
4, (-x+5)(x+3)+(2x-1)(x+3)
5, -4x(x+3)(x-4)-3x(x^2-x+1)
Tìm x biết
a) (2x+3)(x–4)+(x–5)(x–2)=(2x+1)(x–4)
b)(8x–3)(3x+2)–(4x+7)(x+4)=(2x+1)(5x–1)
c) 2x^2+3(x–1)(x+1)=5x(x+1)
d) (8–5x)(x+2)+4(x–2)(x+1)+(x–2)(x+2)
e)4(x–1)(x+5)–(x+2)(x+5)=3(x–1)(x+2)
1) 5(x-3) (x-7)-(5x+1) (x-2)= -8
2) x(x+1) (x+2)-(x+4) (3x-5)= 84-5x
3) (9x2-5) (x+3)-3x2(3x+9)=(x-5) (x+4)-x(x-11)
4) (x2-4x+16) (x+4)-x(x+1) (x+2)+3x2=0
5) (8x+2) (1-3x)+(6x-1) (4x-10)=-50
6) (x2+2x+4) (2-x)+x(x-3) (x+4)-x2+24=0
7) (\(\dfrac{x}{2}\)+3) (5-6x)+(12x-2) (\(\dfrac{x}{4}\)+3)=0
1. Tìm x
a.( 8x-3)*(3x+2)-(4x+7)*(x+4)=(4x+1)*(5x-1).
b.2x2+3*(x-1)*(x+1)=5x*(x+1).
c.(8+5x)*(x+2)+4*(x-2)*(x+1)+2(x-2)*(x+2)=6.
d.4*(x-1)*(x+5)-(x+2)*(x+5)=3*(x-1)*(x+2).
Mong các bạn giải nhanh giùm mình :D
a. (x+1) (x-2) e. (3x+1)(x+\(\dfrac{1}{2}\))
b. (2x-3) (x-4) f. (x\(^3\)-2x+6)(5-\(\dfrac{2}{3}\)xy)
c. (x-1)(x+3)(x-2)
d. (x-5)(x+\(\dfrac{1}{2}\))
chứng minh đẳng thức
(x^3 -1) (x^3+1) = (x^2-1) (x^2+x+1) (x^2 x +1)
