Question

Write two expressions that are equivalent to the expression -4y - 16

by factoring out a common factor.

Answer 1

Please check the explanation.

Explanation:

Determining the first equivalent expression:

Given the expression

`-4y-16`

Rewrite 16 as 4 · 4

`\:-4y\:-\:16=-4y-4\cdot \:\:4`

Taking common factor -4

`=-4\left(y+4\right)`

Therefore,

`\:-4y\:-\:16=-4\left(y+4\right)`

Determining the first equivalent expression:

Given the expression

`-4y-16`

Rewriting -4y - 4y as -1 · 4y - 1 · 16

`\:-4y\:-\:16=-1\:\cdot \:4y\:-\:1\:\cdot \:16`

Taking common factor -1

`=-1\left(4y+16\right)`

Therefore,

`\:-4y\:-\:16=-1\left(4y+16\right)`