a: Đặt x+2=a; x+3=b
Theo đề, ta có pt: \(\left(a+b\right)^3-a^3-b^3=0\)
=>-3ab(a+b)=0
=>ab(a+b)=0
=>(2x+5)(x+2)(x+3)=0
hay \(x\in\left\{-\dfrac{5}{2};-3;-2\right\}\)
b: Đặt x+7=a; x+6=b
Theo đề, ta có pt: \(a^3+b^3-\left(a+b\right)^3=0\)
=>ab(a+b)=0
=>(x+7)(2x+13)(x+6)=0
hay \(x\in\left\{-7;-6;-\dfrac{13}{2}\right\}\)
Mọi người yêu dấu ơi~Xin hãy giúp mình giải bài này với a~Mình sẽ tick~Like và Bình luận cho mina a~
-----------------------------------------------------
Tìm x
a,\(\left(x+2\right).\left(x^2-2x+4\right)-\left(x^2+x\right)=15\)
b,\(\left(x+3\right)^3-x.\left(3x+1\right)^2+\left(2x+1\right),\left(4x^2-2x+1\right)=28\)c,\(\left(x^2-1\right)^3-\left(x^4+2x+1\right).\left(x^2-1\right)=0\)
d,\(\left(x-1\right).\left(x^3+x+1\right)-x\left(x-2\right).\left(x+2\right)=5\)
e,\(\left(x-1\right)^3-\left(x+3\right).\left(x^2-3x+9\right)+3\left(x^2-4\right)=2\)
f,\(\left(x-3\right)^3-\left(4x+3\right)^2+\left(3x-1\right).\left(9x^2+3x+1\right)=4.\left(3x^3-7\right)\)
Cảm ơn các bạn nhiều lắm a~
Thu gọn biểu thức
1,\(\left(x-2\right)^3-\left(2x+3\right)^3-7\cdot\left(1-x\right)^3\)
2,\(\left(x+5\right)\cdot\left(x^2-5x+25\right)-\left(x-2\right)\cdot\left(x^2+2x+4\right)\)
3, \(\left(2x-3\right)\cdot\left(4x^2+6x+9\right)-\left(2x+1\right)^3\)
Tìm x:
1, \(\left(x-5\right)\cdot\left(x+5\right)-\left(x+3\right)^2=2x-3\)
2,\(\left(2x+3\right)^2+\left(x-1\right)\cdot\left(x+1\right)=5\cdot\left(x+2\right)^2\)
3, \(\left(x-4\right)^3-\left(x-5\right)\cdot\left(x^2+5x+25\right)=\left(x+2\right)\cdot\left(x^2-2x+4\right)-\left(x+4\right)^3\)
Tìm x
a, \(\left(x-5\right)\cdot\left(x+5\right)-\left(x+3\right)^2=2x-3\)
b, \(\left(2x+3\right)^2+\left(x-1\right)\cdot\left(x+1\right)=5\cdot\left(x+2\right)^2\)
Thu gọn biểu thức
1,\(\left(x-3\right)\cdot\left(x+3\right)-\left(x+1\right)^2\)
2, \(\left(2x-1\right)^2-\left(x+2\right)^2-\left(2x-\dfrac{1}{2}\right)^2\)
3,\(\left(2x+1\right)^3-\left(2x-1\right)^3-24x^2\)
4, \(\left(x-2\right)^3-\left(2x+3\right)^3-7\cdot\left(1-x\right)^3\)
Tìm x, biết:
a) \(\left(x-3\right)\left(x^2+3x+9\right)+x\left(x+2\right)\left(2-x\right)=1\)
b) \(\left(x-3\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+6\left(x+1\right)^2+3x^2=15\)
c)\(\left(x-1\right)^3-\left(x+3\right)\left(x^2-3x+9\right)+3\left(x^2-4\right)=2\)
d) \(\left(x-2\right)^3+6\left(x+1\right)^2-x^3+12=0\)
Tìm x :
1, \(\left(x+1\right)^3-\left(x-1\right)^3=6\cdot\left(x+2\right)^2-9\)
2, \(\left(2x-1\right)\cdot\left(4x^2+2x+1\right)+\left(1-2x\right)^3=3\cdot\left(2x+3\right)^2\)
tìm x, y biết
a, \(5x^2+5y^2+8xy+2x-2y+2=0\)
b, \(\left(x-2\right)\left(x-3\right)\left(x-4\right)\left(x-5\right)+1=0\)
Tìm x :
1, \(\left(3x+2\right)^2-\left(2x-1\right)\cdot\left(2x+1\right)=5\cdot\left(x-2\right)^2\)
2, \(\left(x+2\right)^2-\left(x+3\right)\cdot\left(x-1\right)=5x\)
3, \(\left(3x-1\right)\cdot\left(x-3\right)+\left(x-2\right)^2=\left(2x-5\right)^2\)
