Question

1. simplify and write your answer in standard form.

(5x + 4)²
type a response

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 \(b = 4\).

Step2: Calculate each term

• For \(a^2\): \((5x)^2 = 25x^2\)
• For \(2ab\): \(2\times(5x)\times4 = 40x\)
• For \(b^2\): \(4^2 = 16\)

Step3: Combine the terms

Adding the three terms together: \(25x^2 + 40x + 16\)

Answer:

\(25x^2 + 40x + 16\)