Questions: Multiply. (9z+4)(9z-4) Simplify your answer.

Solution Steps

To multiply and simplify the given polynomials \((9z + 4)(9z - 4)\), we can use the difference of squares formula, which states that \((a + b)(a - b) = a^2 - b^2\). Here, \(a = 9z\) and \(b = 4\).

To multiply the polynomials \((9z + 4)(9z - 4)\), we recognize that this expression fits the difference of squares pattern, which is given by: \[ (a + b)(a - b) = a^2 - b^2 \] Here, we set \(a = 9z\) and \(b = 4\).

Now, we compute \(a^2\) and \(b^2\): \[ a^2 = (9z)^2 = 81z^2 \] \[ b^2 = 4^2 = 16 \]

Substituting these values back into the difference of squares formula, we have: \[ (9z + 4)(9z - 4) = a^2 - b^2 = 81z^2 - 16 \]

Final Answer