Question

Select the correct answer.

Which expression is equivalent to the given expression?
(2w-2)(826)

Answer 1

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

In other words:

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

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`