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larisa86 [58]
3 years ago
9

Factor 4x^4yz-16y^3z

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

<h2>4x⁴yz - 16y³z = 4yz(x² - 2y)(x² + 2y)</h2>

Step-by-step explanation:

4x^4yz-16y^3z\\\\4x^4yz=4yz\cdot x^4\\\\16y^3z=4yz\cdot4y^2\\\\4x^4yz-16y^3z=4yz\cdot x^4-4yz\cdot4y^2=4yz(x^4-4y^2)\\\\x^4-4y^2=x^{2\cdot2}-2^2y^2=(x^2)^2-(2y)^2=(x^2-2y)(x^2+2y)\\\\Used:\\\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n\\\\a^2-b^2=(a-b)(a+b)\\\\4x^4yz-16y^3z=4yz(x^2-2y)(x^2+2y)


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A video sharing website starts with 20,000 members. Each year it loses 25% of the members, but adds 10,000 new members after the
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Hello there!

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After college you start a job earning $40,000 a year. You get a 6% raise each year.
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We continue calculating 6% then adding that onto the total before calculating it for the next year for problem B.
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Hopefully you can figure out C on your own! I feel a little bad for giving a partial answer but I think you can do this!

Percentage calculator used-https://percentagecalculator.net/
Note: can't handle commas, remove all commas before entering data in.
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3 years ago
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