Question

Verify and name of the property used.

$12\times 4-12\times 10$

Answer 1

Step 1: Solving the expression

The given expression is $12\times 4-12\times 10$

By using distributive property of multiplication over addition we get,

$$\begin{gathered} 12\times 4-12\times 10=12\times \left(4-10\right)[\because \mathrm{a}\times (\mathrm{b}+\mathrm{c})=\mathrm{a}\times \mathrm{b}+\mathrm{a}\times \mathrm{c}] \\ =12\times \left(-6\right) \\ =-72 \end{gathered}$$

Step 2: Verifying the result

Solving the expression without using any property,

$\begin{array}{rcl}12\times 4-12\times 10& =& 48-120\\ & =& -72\end{array}$

Hence, the property used is distributive property of multiplication and result is verified.