Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\left(x^2-1\right)\left(x+2\right)-\left(x-4\right)\left(x^2+4x+16\right)\)
\(=x^3+2x^2-x-2-\left(x^3-4^3\right)\)
\(=x^3+2x^2-x-2-x^3+64\)
\(=2x^2-x+62\)
\(2x\left(3x-2\right)^2\)
\(=2x\left(9x^2-12x+4\right)\)
\(=18x^3-24x^2+8x\)
\(\left(x-3\right)\left(x^2-3x+9\right)\)
\(=x^3-3x^2+9x-3x^2+9x-27\)
\(=x^3-3x^2+18x-27\)
\(\left(x^2-1\right)\left(x+2\right)-\left(x-4\right)\left(x^2+4x+16\right)\)
\(=\left(x^2-1^2\right)\left(x+2\right)-x^3-4^3\)
\(=\left(x+1\right)\left(x-1\right)\left(x+2\right)-x^3-64\)
\(3x^4-4x^3+2x\left(x^3-2x^2+7x\right)\)
\(=3x^4-4x^3+2x^4-4x^3+14x^2\)
\(=5x^4-8x^3+14x^2\)
3x4 - 4x3 + 2x(x3 - 2x2 + 7x )
= 3x4 - 4x3 + 2x4 _ 4x3 + 14x2
= 5x4 - 8x3 + 14x2
a/ \(\left(x+3\right)^2-\left(x-2\right)\left(x+2\right)\)
= \(\left(x+3\right)^2-\left(x^2-4\right)\)
= \(\left(x+3\right)^2-x^2+4\)
= \(\left(x+3-2\right)\left(x+3+2\right)+4\)
= \(4+\left(x+1\right)\left(x+5\right)\)
b/ \(\left(3x-4\right)^2-\left(x-4\right)\left(x+4\right)-8x^2\)
= \(\left(3x-4\right)^2-\left(x^2-16\right)-8x^2\)
= \(\left(3x-4\right)^2-x^2+16-8x^2\)
= \(\left(3x-4\right)^2-9x^2+16\)
= \(\left(3x-4-3x\right)\left(3x-4+3x\right)+16\)
= \(-4\left(6x-4\right)+16\)
= \(4\left(4-6x\right)+16\)
= \(4\left(4-6x+1\right)\)
= \(4\left(5-6x\right)\)
c/ \(\left(x-2\right)\left(x+2\right)+\left(x-3\right)\left(x+3\right)-x\left(2x+1\right)-4\)
= \(x^2-4+x^2-9-2x^2-x-4\)
= \(-17-x\)
= \(-\left(17+x\right)\)
\(\left(x+3\right)\left(x^2-3x+9\right)-\left(54+x^3\right)\)
\(=x^3-3x^2+9x+3x^2-9x+27x-54-x^3\)
\(=27x-54\)
\(\left(x+3\right)\left(x^2-3x+9\right)-\left(54+x^3\right)\)
= \(\left(x^3+27\right)-\left(54+x^3\right)\)
=\(x^3+27-54-x^3\)
= -27
a) \(x\left(x^2-16\right)-\left(x^2+1\right)\left(x-1\right)\) =\(x^3-16x^2-x^3+x^2-x+1\)
= \(x^2-17x+1\)
b) \(\left(y^2-9\right)\left(y^2+9\right)-\left(y^4-4\right)\) = \(\left(y^4-81\right)-\left(y^4-16\right)\)
=\(-65\)
\(\left(x^4-3x^2+9\right)\left(x^2+3\right)-\left(3-x^2\right)^3=x^6+27-\left(27-27x^2+9x^4-x^6\right).\)
=\(x^6+27-27+27x^2-9x^4+x^6\)
=2x6+27x2-9x4