Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(=\left(\left(x+1\right)^2-\left(x-1\right)^2\right)-3\left(x^2-1\right)\)
\(=4x-3x^2+1\)
A) 2x2(1-3x)+6x3
=2x2*(1-3x)+2x2*3x
=2x2*(1-3x+3x)
=2x2
B) (x-y)2+(x+y)2+2(x-y)(x+y)
=2(x2-y2)+x2+2xy+y2+x2-2xy+y2
=2x2-2y2+x2+2xy+y2+x2-2xy+y2
=4x2
2ax^2-a(1+2x^2)-[a-x(x+a)]
=2ax2-2ax2+a+x2-ax+a
=(2ax2-2ax2)-(a+a)+ax+x2
=0-2a+ax+x2
=x2+ax-2a
Ta có :\(B=\frac{3}{2}-\left(\frac{3}{2}\right)^2+\left(\frac{3}{2}\right)^3-....-\left(\frac{3}{2}\right)^{2014}\)
\(\frac{3}{2}B=\left(\frac{3}{2}\right)^2-\left(\frac{3}{2}\right)^3+\left(\frac{3}{2}\right)^4-...+\left(\frac{3}{2}\right)^{2014}-\left(\frac{3}{2}\right)^{2015}\)
\(\frac{3}{2}B+B=\left(\frac{3}{2}\right)^2-\left(\frac{3}{2}\right)^3+..+\left(\frac{3}{2}\right)^{2014}-\left(\frac{3}{2}\right)^{2015}\) \(+\frac{3}{2}-\left(\frac{3}{2}\right)^2+\left(\frac{3}{2}\right)^3-...-\left(\frac{3}{2}\right)^{2014}\)
\(\frac{5}{2}B=\frac{3}{2}-\left(\frac{3}{2}\right)^{2015}\)
\(B=\frac{\frac{3}{2}-\left(\frac{3}{2}\right)^{2015}}{\frac{5}{2}}\)
+) Nếu x > 0
B = 3 . ( -1 ) - 2 . ( x + 3 )
B = -3 - 2x - 6
B = -9 - 2x
+) Nếu x < 0
B = 3 . ( - 1 ) - 2 . ( -x - 3 )
B = -3 + 2x + 3
B = 2x