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Write two expressions that are equivalent to the expression -4y - 16
by factoring out a common factor.

Sagot :

Answer:

Please check the explanation.

Step-by-step explanation:

Determining the first equivalent expression:

Given the expression

[tex]-4y-16[/tex]

Rewrite 16 as 4 · 4

[tex]\:-4y\:-\:16=-4y-4\cdot \:\:4[/tex]

Taking common factor -4

                [tex]=-4\left(y+4\right)[/tex]

Therefore,

[tex]\:-4y\:-\:16=-4\left(y+4\right)[/tex]

Determining the first equivalent expression:

Given the expression

[tex]-4y-16[/tex]

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

[tex]\:-4y\:-\:16=-1\:\cdot \:4y\:-\:1\:\cdot \:16[/tex]

Taking common factor -1

                [tex]=-1\left(4y+16\right)[/tex]

Therefore,

[tex]\:-4y\:-\:16=-1\left(4y+16\right)[/tex]