Question

Using distributive property,simplify the given below:

$53\times 17-39\times 17-4\times 17$

Answer 1

Given, $53\times 17-39\times 17-4\times 17$
According to the distributive property of multiplication over subtraction: $\mathrm{a}\times (\mathrm{b}-\mathrm{c}-\mathrm{d})=\mathrm{ab}-\mathrm{ac}-\mathrm{ad}$

$$\begin{gathered} =17(53-39-4) \\ =17[53-(39+4\left)\right] \\ =17\times (53-43) \\ =17\times 10 \\ =170 \end{gathered}$$

Hence ,$170$ is a required answer.