Use Newton-Girard relations between elementary symmetric finctions and sums of powers: Let p_k=x^k+y^k+z^k, \,s_1=x+y+z, \,s_2=xy+yz+zx, \,s_3=xyz. We have: \begin{align*} p_1&=s_1& ...

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

Expand (x−y−z)(x−y−z) (x - y - z) (x - y - z) by multiplying each term in the first expression by each term in the second expression. x⋅x+x(−y)+x(−z)− yx−y(−y)−y(−z)− zx−z(−y)− z(−z) x ⋅ x + x (- y) + x (- z) - y x - y (- y) - y (- z) - z x - z (- y) - z (- z) Simplify each term. Tap for more steps...

expand (x+y+z)^2. Natural Language. Math Input. Extended KeyboardExamplesUploadRandom. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…

See a solution process below: Explanation: 95xy2 = 5×19×x×y ×y 5 and 19 are both prime numbers so they ... (x-y) is a prime of height 1, which contains (x^2-y^2,z^2x-z^2y), so your ring has dimension at least two, since we have a chain (x-y) \subset (x-y,z) \subset (x,y,z). On the other hand it has ...

Apply the product rule to xy x y. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

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...

What is (xyz)^2 ?

2019年11月7日 · Find the shortest distance between lines x-1/1 = y - 2/-1 = z -1/1 and x -2/2 = y + 1/1 = z + 1/2.

If x+y=18, y+z=24 and z+x=22, then find the value of (x2 +y2 +z2 +2xy+2yz+2zx).