Answered

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2 Is each expression equivalent to the expression 48a - 36b? Select Yes or No for each expression. Yes No a. 30(180 - 66) (0) O b. 12a +36(a - b) O c. 12(3a + a - 36) O d. 4(10a + 2a - 96)

2 Is Each Expression Equivalent To The Expression 48a 36b Select Yes Or No For Each Expression Yes No A 30180 66 0 O B 12a 36a B O C 123a A 36 O D 410a 2a 96 class=

Sagot :

We will determine if they are equivalent or not as follows:

a.

[tex]30(18a-6b)=540a-180b[/tex][tex]\begin{cases}\frac{540}{48}=\frac{45}{4} \\ \frac{180}{36}=5\end{cases}[/tex]

We can see that they are not a factor from the expression given, so NO.

b.

[tex]12a+36(a-b)=12a+36a-36b=48a-36b[/tex]

When we expand we can see that they are equivalent.

c.

[tex]12(3a+a-3b)=12(4a-3b)=48a-36b[/tex]

When we expand we can see that they are equivalent.

d.

[tex]4(10a+2a-9b)=4(12a-9b)=48a-36b[/tex]

When we expand we can see that they are equivalent.

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