−27x^33−81x^22−81x−27
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
d,Sửa đề
\(-x^3+6x^2-12x+8\)
\(=-\left(x^3-6x^2+12x-8\right)\)
\(=-\left(x^3-3.x^2.2+3.x.2^2-2^3\right)\)
\(=-\left(x-2\right)^3\)
\(e,27x^3+81x^2+81x+27\)
\(=27\left(x^3+3x^2+3x+1\right)\)
\(=27\left(x+1\right)^3\)
\(27x^2+42x+6=3\sqrt{81x^4+4}\)
\(\Leftrightarrow9\left(9x^2+14x+2\right)^2=9\left(81x^4+4\right)\)
\(\Leftrightarrow\left(9x^2+14x+2\right)^2-81x^4-4=0\)
\(\Leftrightarrow x=0\)
\(81x^3-27\)
\(=\left(\sqrt[3]{81}.x\right)^3-3^3\)
\(=\left(\sqrt[3]{81}.x-3\right)\left[\left(\sqrt[3]{81}.x\right)^2+\sqrt[3]{81}.x.3+9\right]\)
Tham khảo nhé~
a)4-x^2-4x=4-x^2-2x-2x=-2x-4-x*(x+2)=-2*(x+2)-x*(x+2)=(-2-x)*(x+2)=-(x+2)^2
b)81x^3-27=27*3*x^3-27=27(3*x^3-1)
27(1-x)(x2+x+1)+81x(x-1)
=(27-27x)(x2+x+1)+81x2-81x
=27x2-27x3+27x-27x2+27-27x+81x2-81x
=-27x3+81x2-81x+27
\(27\left(1-x\right)\left(x^2+x+1\right)+81x\left(x-1\right)\)
\(=-27\left(x-1\right)\left(x^2+x+1\right)+81x\left(x-1\right)\)
\(=-27\left(x-1\right)\left(x^2+x+1-3x\right)\)
\(=-27\left(x-1\right)\left(x^2-2x+1\right)\)
\(=-27\left(x-1\right).\left(x-1\right)^2\)
\(=-27.\left(x-1\right)^3\)
8x(x+y)-x-y=(8x-1)(x+y)
x^3 - x= x(x^2 -1)
81x^2y^2 -25= (9xy)^2 -5^2 = (9xy-5)(9xy+5)
27x^3 -1 = (3x)^3 -1 = (3x-1)(9x+3x+1)
\(81x^2y^2-25=\left(9xy-5\right)\left(9xy+5\right)\)
\(x^3-x=x\left(x-1\right)\left(x+1\right)\)
\(8x\left(x+y\right)-x-y=\left(x+y\right)\left(8x-1\right)\)
a) \(27\left(1-x\right)\left(x^2+x+1\right)+81x\left(x-1\right)\)
\(=27\left(1-x^3\right)+81\left(x^2-x\right)\)
\(=27-27x^3+81x^2-81x\)
b) \(y\left[x^2+x\left(x-y\right)+\left(x-y\right)^2\right]+\left(x-y\right)^3\)
\(=y\left[x^2+x^2-xy+x^2-2xy+y^2\right]+x^3-3x^2y+3xy^2-y^3\)
\(=y\left(3x^2-3xy+y^2\right)+x^3-3x^2y+3xy^2-y^3\)
\(=3x^2y-3xy^2+y^3+x^3-3x^2y+3xy^2-y^3=x^3\)