Question

multiply and simplify:
$(4x + 5)^2$

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 4x\) and \(b = 5\).

Step2: Calculate \(a^2\)

\(a^2=(4x)^2 = 16x^2\)

Step3: Calculate \(2ab\)

\(2ab = 2\times(4x)\times5=40x\)

Step4: Calculate \(b^2\)

\(b^2 = 5^2 = 25\)

Step5: Combine the terms

\((4x + 5)^2=16x^2+40x + 25\)

Answer:

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