\(y\left(y+3\right)^2-\left(y+2\right)\left(y^2-2y+4\right)-6\left(y+5\right)\left(y-5\right)=97\)
\(y\left(y^2+6y+9\right)-\left(y^3+8\right)-6\left(y^2-25\right)=97\)
\(y^3+6y^2+9y-y^3-8-6y^2+150=97\)
\(9y=97+8-150\)
\(9y=-45\Rightarrow y=-5\)
\(y\left(y+3\right)^2-\left(y+2\right)\left(y^2-2y+4\right)-6\left(y+5\right)\left(y-5\right)=97\)
\(y\left(y^2+6y+9\right)-\left(y^3+8\right)-6\left(y^2-25\right)=97\)
\(y^3+6y^2+9y-y^3-8-6y^2+150=97\)
\(9y=97+8-150\)
\(9y=-45\Rightarrow y=-5\)
Rút gọn :
a. ( x + 2 ) ( x2 - 2x + 4 ) - ( 1 - 3x ) ( 1 + 3x + 9x2)
b . ( x + y ) ( y2 - 2y + 4 ) + ( 5 - y ) ( 25 + 5y + y2)
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
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
B1. tìm x :
a. (x+3)3 -x(3x+1)2 + (2x+1).(4x2-2x+1)-3x2=42
b. 5x(x+3)2-5(x+1)3+15(x+2)(x-2)=5
B2. tìm cặp x , y
x2(x+3)+y2(y+5)-(x+y)(x2-xy+y2)=0
Tính:
c) (y-5).(25+5y+y2+2y)
giúp mình nha
1)(x+2y)3
2)(4x2-y2)3
3)(3x-xy3)3
4)(-1/2x+1)3
5)(x2-1/2)(x4+1/3x2+1/9)
6)(0,1x+y2)(0,01x2-0,1xy2+y2)
Tính:
c) (y-5).(25+5y+y2+2y)
giúp mình nha.Cảm ơn
a) Cho \(x+y=1\) và \(xy=-6\). Tính \(x^2+y^2;x^3+y^3;x^5+y^5\).
b) Cho \(x-y=1\) và \(xy=6\).Tính \(x^2-y^2;x^3-y^3;x^5-y^5\).
1>Tínk:
1, \(\left(x+y\right)^3-\left(x-y\right)^3\)
2, 64-24y+\(3y^2-\dfrac{1}{8}y^3\)
3, \(216x^3+18x^2y+\dfrac{1}{2}xy^2+\dfrac{1}{216}y^3\)
4, \(\left(2x+y\right)^3-3.\left(x+y\right).\left(x-y\right)\)
5, \(\left(x-y\right)^3+3.\left(x+y\right).\left(x^2+y^2\right)\)