Hey there!
The first expression is
5x+15
The equivalent expressions are
5(x+3)
- the opposite of the Distributive Property: 5(x+3)=5x+15
Plus
isn't 5*x+5*3 the same as 5x+15?
Yeah, it is :)
Hence, the equivalent expressions are
![\boxed{\boxed{\bold{Option\;A \;and\;Option\;B}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/44o4xlxepbw4o9xm6zn1wfj7notxcid6s6.png)
![\rule{200}{2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/2ko50n2a94ze3uv7co8x4970xhxkhutpe8.png)
In order to simplify this expression, we need to combine like terms:
11+12y-3-y
The y's are like terms:
11+12y-y-3
11+11y-3
Can you spot any other like terms here? That's right, 11 and -3:
11-3+11y
8+11y
Hence, the equivalent expression is
![\boxed{\boxed{\bold{11y+8}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/mgn74ybartmo8lwukljmxbdt9yh09c4k6t.png)
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
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