Solve for Missing Terms in 23x(? + ?) = 46x² + 23

Fill in the missing values:

$23x(?+?)=46x^2+23$

To solve this problem, let's consider how the equation is structured:

The given equation is $23x(?+?) = 46x^2 + 23$.

On the left-hand side, we have $23x \times (?+?)$ and on the right-hand side, we observe it's structured as a multiplication between two terms plus a constant.

Re-examine the right-hand side, $46x^2 + 23$. This can be interpreted as $(2x) \cdot (23x) + 23$.

The expression can be rearranged as:
$23 \cdot (2x \cdot x + 1)$.

Therefore, the original equation takes the form:
$23x(2x + \frac{1}{x})$, also known as multiplying through distribution yields,
$23x \cdot 2x + 23x \cdot \frac{1}{x} = 46x^2 + 23$,
which matches perfectly with $46x^2 + 23$.

By comparing the elements, we find that the missing parts are:

• The first missing part is $2x$.
• The second missing part is $\frac{1}{x}$.

Hence, the values for the question marks are $2x$ and $\frac{1}{x}$.

Therefore, the correct answer is:

$2x,\frac{1}{x}$