1. x2 - 2xy + y2 - ( y + 1 )2 = ( x - y )2 - ( y + 1)2
= \(\left[\left(x-y\right)-\left(y+1\right)\right]\left[\left(x-y\right)+\left(y+1\right)\right]\)
= (x-2y-1) ( x +1 )
5. x6 - y6 = (x3)2 - (y3)2
= ( x3 - y3 ) ( x3 + y3 )
=\(\left[\left(x-y\right)\left(x^2+xy+y^2\right)\right]\left[\left(x+y\right)\left(x^2-xy+y^2\right)\right]\)
Tính giá trị của biểu thức :
a) \(A=\left(x+1\right)^3-\left(x+3\right)^2.\left(x+1\right)+4x^2+8\) tại \(x=-\frac{1}{6}\)
b) \(B=2.\left(x^6+y\right)-3.\left(x^4+y^4\right)\)tại \(x^2+y^2=1\)
Tính giá trị của biểu thức :
a) \(A=\left(x+1\right)^3-\left(x+3\right)^2.\left(x+1\right)+4x^2+8\) tại \(x=-\frac{1}{6}\)
b) \(B=2.\left(x^6+y\right)-3.\left(x^4+y^4\right)\)tại \(x^2+y^2=1\)
Mọi người yêu dấu ơi~Xin hãy giúp mình giải bài này với a~Mình sẽ tick~Like và Bình luận cho mina a~
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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~
Tìm x :
1, \(\left(x+1\right)^3-\left(x-1\right)^3=6\cdot\left(x+2\right)^2-9\)
2, \(\left(2x-1\right)\cdot\left(4x^2+2x+1\right)+\left(1-2x\right)^3=3\cdot\left(2x+3\right)^2\)
Thu gọn biểu thức :
1, \(\left(x-y-z\right)^2-\left(y+z\right)^2\)
2, \(\left(2x+y\right)^2-4x\cdot\left(2x+y\right)+4x^2\)
3, \(\left(x+y\right)^2-2\cdot\left(x^2-y^2\right)+\left(x-y\right)^2\)
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, \(\left(2x-3\right)\cdot\left(4x^2+6x+9\right)-\left(2x+1\right)^3\)
Thu gọn biểu thức :
1, \(\left(x+5\right)\cdot\left(x^2-5x+25\right)-\left(x-2\right)\cdot\left(x^2+2x+4\right)\)
2, \(\left(2x-3\right)\cdot\left(4x^2+6x+9\right)-\left(2x+1\right)^3\)
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, \(\left(3x+2\right)^2-\left(2x-1\right)\cdot\left(2x+1\right)=5\cdot\left(x-2\right)^2\)
2, \(\left(x+2\right)^2-\left(x+3\right)\cdot\left(x-1\right)=5x\)
3, \(\left(3x-1\right)\cdot\left(x-3\right)+\left(x-2\right)^2=\left(2x-5\right)^2\)