Q75. - Algebra 1

Question

Evaluate the following expression:

$3\left(6\right)+7\left(6\right)$

Step-by-Step Solution

Answer

The value of the expression $3\left(6\right)+7\left(6\right)$ is 60.

Step 1. Given information.

The expression is $3\left(6\right)+7\left(6\right)$.

Step 2. Write the Distributive property.

The distributive law of multiplication over addition or subtraction is given in below:

$ba\pm ca=\left(b\pm c\right)a$

Here $a, b$ and $c$ are real numbers.

Step 3. Rewrite the expression.

The expression $3\left(6\right)+7\left(6\right)$ can be written using the distributive property as in below:

$3\left(6\right)+7\left(6\right)=\left(3+7\right)\cdot 6$

Step 4. Evaluate the expression.

The value of the expression $3\left(6\right)+7\left(6\right)$ is:

$\begin{array}{l}3\left(6\right)+7\left(6\right)=\left(3+7\right)\cdot 6\\ =10\cdot 6\\ =60\end{array}$