Question

expand and state your answer as a polynomial in standard form. (5x - y)^2

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = 5x\) and \(b = y\).

Step2: Substitute \(a = 5x\) and \(b = y\) into the formula

First, calculate \(a^2\): \((5x)^2 = 25x^2\).
Then, calculate \(2ab\): \(2\times(5x)\times y = 10xy\).
Next, calculate \(b^2\): \(y^2\).

Step3: Combine the terms

Using the formula \((a - b)^2 = a^2 - 2ab + b^2\), we substitute the calculated values: \((5x - y)^2 = 25x^2 - 10xy + y^2\).

Answer:

\(25x^2 - 10xy + y^2\)