Q35. - Algebra 1

Question

Evaluate each expression if $\mathit{a}\mathbf{=}\mathbf{-}\mathbf{1}\mathbf{,}\mathit{b}\mathbf{=}\mathbf{4}\mathbf{,}\mathbf{\text{\hspace{0.33em}and }}\mathit{c}\mathbf{=}\mathbf{6}$.

35. $\mathbf{3}{\mathit{c}}^{\mathbf{2}}\mathbf{+}\mathbf{2}\mathit{c}\mathbf{+}\mathbf{2}{\mathit{c}}^{\mathbf{2}}$

Step-by-Step Solution

Answer

The value of the expression is 192.

Step 1 – Write the given information

The expression given is 

$3c^2+2c+2c^2$

And

$a=-1,b=4\text{ and }c=6$

Step 2 - DESCRIPTION OF STEP

To solve the given expression substitute variable c by 6, as:

$3c^2+2c+2c^2=3{\left(6\right)}^2+2\left(6\right)+2{\left(6\right)}^2$

Simplify the above as:

$\begin{array}{c}3{\left(6\right)}^2+2\left(6\right)+2{\left(6\right)}^2=3\times 36+12+2\times 36\\ =108+12+72\\ =120+72\\ =192\end{array}$

Thus, $3c^2+2c+2c^2=192$.