Math Problem Solver

The sum of \(4 x + 3\) and \(4 x - 3\) is:

\[\begin{aligned}&=\left(4 x + 3\right) + \left(4 x - 3\right) \\\\ &= 8 x \\\\\end{aligned}\]

The difference of \(4 x + 3\) and \(4 x - 3\) is:

\[\begin{aligned}&=\left(4 x + 3\right) - \left(4 x - 3\right) \\\\ &= 6 \\\\\end{aligned}\]

The product of \(4 x + 3\) and \(4 x - 3\) is:

\[\begin{aligned}&=\left(4 x + 3\right) \cdot \left(4 x - 3\right) \\\\ &= 16 x^{2} - 9 \\\\\end{aligned}\]

The quotient of \(4 x + 3\) and \(4 x - 3\) is:

\[\begin{aligned}&= \frac{\left(4 x + 3\right)}{\left(4 x - 3\right)} \\\\ &= \frac{4 x + 3}{4 x - 3} \\\\\end{aligned}\]