Question

3 find the product.
$(3x + 4)^2$
i. $9x^2 + 24x + 16$
j. $9x^2 + 16$
k. $9x^2 + 12x + 16$
l. $9x^2 - 24x + 16$

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 3x\) and \(b = 4\).

Step2: Calculate \(a^2\)

\(a^2=(3x)^2 = 9x^2\)

Step3: Calculate \(2ab\)

\(2ab = 2\times(3x)\times4=24x\)

Step4: Calculate \(b^2\)

\(b^2 = 4^2 = 16\)

Step5: Combine the terms

\((3x + 4)^2=9x^2+24x + 16\)

Answer:

I. \(9x^2 + 24x + 16\)