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atroni [7]
3 years ago
14

Factor the expression. r^2 – 49 a. (r – 7)(r 9) b. (r 7)(r 7) c. (r – 7)(r 7) d. (r – 7)(r – 7)

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0
r^2-49=r^2-7^2\\\\/use\ a^2-b^2=(a-b)(a+b)/\\\\=\boxed{(r-7)(r+7)}
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Simplify 9y+2y-5y please answer
Brums [2.3K]

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

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Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

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