Question

10[3x+1/x]^2+[3x+1/x]-3​

Answer 1

Answer:

$\sf \implies \dfrac{90x^{4} + 3x^{4}+ 57x^{2}+x+10}{x^{2}}$

Step-by-step explanation:

Let's first bring the expression to mathematical form :-

$\implies \sf 10 \bigg(3x + \dfrac{1}{x} \bigg)^{2}+3x+ \dfrac{1}{x} -3$

Now, proceed by simplifying it:-

$\sf \implies \dfrac{90x^5+3x^4+57x^3+x^2+10x}{x^3}$

Final Answer:-

$\sf \implies \dfrac{90x^4+3x^3+57x^2+x+10}{x^2}$

About the question:

These types of expressions are known as polynomials.

Polynomials :-

polynomials : Polynomial are variable based dialect in the language of maths.

In a common language , polynomials are defined as a string of variables and numbers put together.

Highest power of a polynomial is called degree of polynomial.

A constant polynomial is nothing but a monomial with degree zero.

Equation: A condition or a constraint placed on x and y coordinates.

Curve: A union of points that satisfy a particular condition.