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Choose Yes or No to tell whether the expressions are equivalent.

1. 4(5c + 3) and 9c + 7 yes or no

2. 10f – 10 and 2(8f – 5) yes oe no

3. 12g + 21 and 3(4g + 7) yes or no

4. 6(4j – 6) and 24 – 36j yes or no​

Respuesta :

1. No
2. No
3. Yes
4. No, it’s actually 24j -36

(1) No, the expressions are not equivalent.

(2) No, the expressions are not equivalent.

(3) Yes, the expressions are equivalent.

(4) No, the expressions are not equivalent.

Step-by-step explanation:

Given information:

(1) The expression

[tex]4(5c+3)\; \text {and} \;(9c+7)[/tex]

Now simplify the above expression by equating them:

[tex]20c+12=9c+7[/tex]

As, we can see

The expressions are not equivalent.

(2) The expression:

[tex]10f-10 \;\text {and}\;2(8f-5)[/tex]

Now, simplify the above expression by equating them:

[tex]10f-10=16f-5[/tex]

As, we can see

The expressions are not equivalent.

(3) The expression:

[tex]12g+21 \;\text{and}\;3(4g+7)[/tex]

Now, simplify the above expression by equating them:

[tex]12g+21=12g+21[/tex]

As, we can see

The expressions are equivalent.

(4) The expression:

[tex]6(4j-6)\; \text{and}\;24-36j[/tex]

Now, simplify the above expression by equating them:

[tex]24j-36=24-36j[/tex]

As, we can see

The expressions are not equivalent.

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