Respuesta :

Answer:

Box-1:

Neither

Box-2:

[tex]8(t+8)[/tex]

Box-3:

[tex]8(t+8)[/tex]

Box-4:

[tex]8t+8[/tex]

Box-5:

Neither

Box-6:

[tex]8t+8[/tex]

Step-by-step explanation:

We can verify each box

Box-1:

[tex](8+t)+(8+8)[/tex]

we can simplify it by combining like terms

[tex]=8+t+8+8[/tex]

[tex]=8+t+16[/tex]

[tex]=t+24[/tex]

none of them matches

so, Neither

Box-2:

[tex]8t+64[/tex]

we can write as

[tex]8\times t+8\times 8[/tex]

now, we can factor out 8

[tex]8(t+8)[/tex]

Box-3:

[tex]8\cdot t+8\cdot 8[/tex]

we can factor out 8

[tex]8(t+8)[/tex]

Box-4:

[tex]4t+8+4t[/tex]

we can combine like terms

[tex]4t+4t+8[/tex]

[tex]8t+8[/tex]

Box-5:

[tex]8t+16[/tex]

we can factor common term

[tex]8\times t+8\times 2[/tex]

now, we can factor out 8

[tex]8(t+2)[/tex]

so, we can see that none are matching

so, Neither

Box-6:

[tex]4(2t+2)[/tex]

we can distribute 4

[tex]4\times 2t+4\times 2[/tex]

we can simplify it

[tex]8t+8[/tex]

simple answer

8(t+8):

(8 • t) + (8 • 8)

8t + 64.

8t + 8:

4t + 8 + 4t

4(2t + 2)

Neither:

(8 + t) + (8 + 8)

8t + 16

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