Question

X+1/3x / x^2 + 2x + 1/9x^2

Answer 1

Ответ:

14x+1

Объяснение:

$\frac{x+\frac{1}{3}x }{x^{2} }+2x+\frac{1}{9x^{2}}=\frac{9x+3x+18x^{3}+1}{9x^{2}}=\frac{12x+18x^{3}+1}{9x^{2}}=12x+2x+1=14x+1$

Answer 2

It looks like you're presenting a mathematical expression. Let's break down the expression and simplify it step by step:

Expression: (x + 1)/(3x) / (x^2 + 2x) + 1/(9x^2)

Step 1: Simplify the fractions in the numerator and denominator of the first term: (x + 1)/(3x) = (x/3x) + (1/3x) = 1/3 + 1/3x

Step 2: Simplify the second term: (x^2 + 2x) = x(x + 2)

Step 3: Combine the simplified terms: 1/3 + 1/3x / x(x + 2) + 1/(9x^2)

Step 4: Find a common denominator for the fractions: The common denominator for the fractions is 9x^2.

Step 5: Rewrite the fractions with the common denominator: (3x^2 + 3x) / (9x^2) + (x + 2)/(9x^2) + 1/(9x^2)

Step 6: Combine the numerators over the common denominator: (3x^2 + 3x + x + 2 + 1) / (9x^2)

Step 7: Simplify the numerator: (4x^2 + 4x + 3) / (9x^2)

So, the simplified expression is (4x^2 + 4x + 3) / (9x^2).