Question

Select the correct answer.

Answer 1

Answer:

$1652w-1652$  is equivalent to $\left(2w-2\right)\left(826\right)$

In other words:

$\left(2w-2\right)\left(826\right)=\:1652w-1652$

Step-by-step explanation:

Considering the expression

$\left(2w-2\right)\left(826\right)$

solving

$\left(2w-2\right)\left(826\right)$

$=\left(826\right)\left(2w-2\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac$

$a=\left(826\right),\:b=2w,\:c=2$

$=\left(826\right)\cdot \:2w-\left(826\right)\cdot \:2$

$=826\cdot \:2w-826\cdot \:2$

$=1652w-1652$

Therefore,

$1652w-1652$  is equivalent to $\left(2w-2\right)\left(826\right)$

In other words:

$\left(2w-2\right)\left(826\right)=\:1652w-1652$