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Expand (x + y + z)(x + y + z) by multiplying each term in the first expression by each term in the second expression.

解决方法是：可以直接运用公式 (x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2xz. 即：三项和的平方等于各项平方和再加上每两项乘积的2倍。 (x+y+z)的平方等于什么 (x+y+z)²=x²+2xy+y²+2xz+z²+2yz。 解题思路：三项和的平方等于各项平方和再加上每两项乘积的2倍。 在数学中，由若干个单项式相加组成的代数式叫做多项式。 多项式中的每个单.

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Consider the function: $f (x,y,z)=xyz^2$ Its gradient is $\nabla f= (yz^2, xz^2, 2xyz)$ then the critical points are all in the sets $\ { (x,y,0): x,y\in \mathbb {R}\}, \ { (0,0,z): z\in \mathbb {R}\}$. ...

Find the shortest distance from the origin to the surface of $xyz^2=2$, i.e. minimize $f (x,y,z)=x^2+y^2+z^2$ subject to $xyz^2-2=0$ hence we obtain $L (x,y,z,\lambda)=x^2+y^2+z^2+\lambda (xyz^2-2)$,t...

When (x+y +z)5 is multiplied it gives a formula ∑i,j,k ci,j,kxiyjzk. How to find c5,0,0?

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What is (xyz)^2 ?