1/rút gọn biểu thức
a)(x-4)^3 - 2x(x-5)^2 + (x-4)(x^2+4x+16)-(x-3)^3
b)(x+5)(x^2-5x+25)-(x+3)^3+(x-2)(x^2+2x+4)-(x-1)^3
c)(x+3y)^3 +(3x+2y)(9x^2-6xy+4y^2)-3(2x-y)^3
d)(3x+y)^3-(5x-y)(25x^2+5xy+y^2)+(x+2y)^3
cảm ơn mn ạ
Tìm x , biết :
a. \(\left(x-2\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+6\left(x+1\right)^2=15\)
b. \(2x^3-50x=0\)
c.\(5x^2-4\left(x^2-2x+1\right)-5=0\)
d. \(x^3-x=0\)
e. \(27x^3-27x^2+9x-1=1\)
bài 1:
a)7x(x2-7x+3) b)(x+6)(x-7)
c)(x-8)2 d) (3x+2)2
e)(x-4)(x+4)-(5-x)2
Bài 2:
a)2(x-7)-9=10 b)(2x-5)2-x(4x-3)=2x+50
tìm x biết :
a, (x+2)2 + (x-3)2 - 2(x-1).(x+1) = 9
b, x(x+4)(4-x) + (x-5)(x2+5x+25) = 3
c, 3(x-1)2 - 3x(x-2) = 21
d, 4(x+1)2 + (2x-1)2 - 8(x-1)(x+1) = 11
Bài 3: Rút gọn các biểu thức sau:
1) ( x+ 3)(x2 -3x + 9) - (x3 + 54)
2) (2x + y)(4x2 + 2xy + y2 ) - (2x – y)(4x2 + 2xy + y2 )
3) (x – 1)3 – (x + 2)(x2 -2x +4) +3(x +4)(x – 4)
4) x(x + 1)(x - 1) – (x + 1)(x2 – x +1)
5) 8x3 - 5 (2x + 1)(4x2 – 4x + 1)
6) 27 + (x – 3)(x2 +3x + 9)
7) (x – 1)3 – (x +2)(x2 -2x + 4) +3(x +4)(x -4)
8) (x – 2)3 +6( x – 1)2 –(x +1)(x2 -x +1) +3x
Bài 1: Rút gọn biểu thức
a) A = (x - 5)2 + (x + 1)2 - 4(x + 3)(x - 3)
b) B = (3x + 1)2 + 2(x - 1)(3x + 1) + (x - 1)2
c) C = (x - 1)(x + 1)(x2 + 1)(x4 + 1)(x8 + 1)
Bài 2: Rút gọn biểu thức
a) A = 2(x - y)2 - 3(x + y)2 - (2x - y)(2x + y)
b) B = (x - 3)2 - (4x - 4)(x - 3) + (x - 1)2
c) C = (x - 3)(x + 3)(x2 + 9) - (x2 - 5)(x2 + 5)
d) D = (x - y + z)2 + (z - y)2 - 2(x + z - y)(y - z)
Bài 3: Tìm x biết
a) 2(x + 1)2 + (x - 3)2 - 2(x - 7)(x + 7) = 1
b) (3x + 1)2 - 9(x + 1)2 = 17
c) (5x + 2)2 - 9(x - 1)2 + 4(2x + 1)(1 - 2x) = 2
Tìm x:
a. \(\left(3x+4\right)\left(3x-4\right)-\left(2x+5\right)^2=\left(x-5\right)^2+\left(2x+1\right)^2-\left(x^2-2x\right)+\left(x-1\right)^2\)
b. \(-5\left(x+3\right)^2+\left(x-1\right)\left(x+1\right)+\left(2x-3\right)^2=\left(5x-2\right)^2-5x\left(5x+3\right)\)
Bài Tìm x,biết
a) (x-1)^3+(2-x)(4+2x+x^2)+3x(x+2)=16
b) (x+2)(x2-2x+4)-x(x2-2)=16
c) x(x-5)(x+5)-(x+2)(x2-2x+4)=17
d)(x-3)3-(x-3)(x2+3x+9)+9(x+1)2=15