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Anna007 [38]
3 years ago
7

How to simply 7a+3(9+5a)?

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0
To solve for this, we need to use the Distributive Property, which allows us to multiply the number/variable outside of the parenthesis by all numbers/variables inside of the parenthesis. Once we've done that, we can attempt to simplify the equation.
Our current equation is:
7a + 3(9+5a) = 0
Let's use the Distributive Property.
3(9 + 5a)
3(9) + 3(5a)
27 + 15a
Our current equation now is:
7a + 27 + 15a = 0
Combine like-terms.
15a + 7a = 22a
22a + 27 (If this is not being solved, THIS is your answer as an expression)
Subtract 27 from both sides
22a = -27
Divide both sides by 22 to get a.
a = -27/22.
If we are not solving for a, but getting an expression, your answer is:
22a + 27.
If we are solving for a, our answer is:
a = -27/22.
I hope this helps!
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Answer:

The volume = 5x^{5}+4x^{4}+x^{3}

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

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∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

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∵ x × x² = x³

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∵ x³ × 5x² = 5x^5

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∵ x³ × 1 = x³

∴ The volume = 5x^{5}+4x^{4}+x^{3}

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