展开 2(64x^3+96x^2+56x+16)^2

解答

展开

2 (64 x^{3} + 96 x^{2} + 56 x + 16)^{2}

8192 x^{6} + 24576 x^{5} + 32768 x^{4} + 25600 x^{3} + 12416 x^{2} + 3584 x + 512

求解步骤

2 (64 x^{3} + 96 x^{2} + 56 x + 16)^{2}

(64 x^{3} + 96 x^{2} + 56 x + 16)^{2} = 4096 x^{6} + 12288 x^{5} + 16384 x^{4} + 12800 x^{3} + 6208 x^{2} + 1792 x + 256

= 2 (4096 x^{6} + 12288 x^{5} + 16384 x^{4} + 12800 x^{3} + 6208 x^{2} + 1792 x + 256)

打开括号

= 2 \cdot 4096 x^{6} + 2 \cdot 12288 x^{5} + 2 \cdot 16384 x^{4} + 2 \cdot 12800 x^{3} + 2 \cdot 6208 x^{2} + 2 \cdot 1792 x + 2 \cdot 256

化简

2 \cdot 4096 x^{6} + 2 \cdot 12288 x^{5} + 2 \cdot 16384 x^{4} + 2 \cdot 12800 x^{3} + 2 \cdot 6208 x^{2} + 2 \cdot 1792 x + 2 \cdot 256 : 8192 x^{6} + 24576 x^{5} + 32768 x^{4} + 25600 x^{3} + 12416 x^{2} + 3584 x + 512

= 8192 x^{6} + 24576 x^{5} + 32768 x^{4} + 25600 x^{3} + 12416 x^{2} + 3584 x + 512

e x p an d (\frac{cos ( x )}{x} - ln (sin (t)))^{2}

e x p an d \frac{x - 3}{( x + 2 ) ( x - 2 )}

e x p an d (\frac{( e ^{x} + e ^{- x} )}{2})^{2}

e x p an d d v (2 x + 1)

\frac{\partial}{\partial x} ((z) (e^{x yz} + x y))