Question

Evaluate the following expression using distributive property:

$\left(4+6\right)\left(-6\right)$

Short answer

The value of the expression is: $\left(4+6\right)\left(-6\right)=-60$.

Step-by-step solution

– Given information.

Given expression is:

$\left(4+6\right)\left(-6\right)$

– Write the concept.

The distributive property is:

$\left(a+b\right)c=ac+bc$

The distributive property is used to evaluate the product of a number and the sum or difference.

– Evaluate the expression.

The expression $\left(4+6\right)\left(-6\right)$can be solved in below:

$\begin{array}{c}(4+6)(-6)=4(-6)\text{+6}(-6)\text{[Distributivepropertyandmultiply]}\\ =(-24)+(-36)\\ =-24-36\text{[Subtract]}\\ =-60\end{array}$