Chapter 12.1, Problem 4MRE

To determine

To Express: The square ${\left(-3c+4\right)}^2$ as a trinomial.

Answer to Problem 4MRE

The required answer is $9c^2-24c+16$ .

Explanation of Solution

Given information:

  ${\left(-3c+4\right)}^2$

Calculation:

  $\begin{array}{l}{\left(-3c+4\right)}^2\\ ={\left(-3c\right)}^2+2\cdot \left(-3c\right)\cdot 4+{\left(4\right)}^2\end{array}$

(Using ${\left(x+a\right)}^2=x^2+2ax+a^2$ )

  $=9c^2-24c+16$

(Simplify)

So, the required trinomial is $9c^2-24c+16$ .