Question

exponents and polynomials squaring a binomial: multivariate try again your answer is incorrect. rewrite without parentheses and simplify. \\((x - 4y)^2\\)

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for squaring a binomial \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = x\) and \(b = 4y\).

Step2: Apply the formula

First, calculate \(a^2\): \(x^2\).
Then, calculate \(2ab\): \(2\times x\times4y = 8xy\).
Next, calculate \(b^2\): \((4y)^2 = 16y^2\).
Now, substitute these into the formula: \((x - 4y)^2 = x^2 - 8xy + 16y^2\).

Answer:

\(x^2 - 8xy + 16y^2\)