Question

Expand (√3x+5y+√2z)² please solve it​

Answer 1

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Answer 2

Answer:

3x²+25y²+2z²+10$\sqrt{3}$xy+ 10$\sqrt{2}$yz+2$\sqrt{6}$zx

Step-by-step explanation:

Using the identity - (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Acc. to question, a =  ;$\sqrt{3}x$ b = 5y ; c = $\sqrt{2}z$

Putting the values, we get:

(√3x+5y+√2z)²=$(\sqrt{3}x)^{2}$ +(5y)²+ $\sqrt{2}z^{2}$ + 2$(\sqrt{3}x)(5y)$ + $2(5y)(\sqrt{2}z )$ + $2(\sqrt{2}z )(\sqrt{3}x )$

                       =3x² + 25y² + 2z² + 10$\sqrt{3}$xy + 10$\sqrt{2}$yz + 2$\sqrt{6}$zx