Mathematics: Which of the following methods of paying for college needs to be repaid? bank loangrant from state department of educationscholarship for high test scoresmoney earned through work-study

Which of the following methods of paying for college

sam9350

28.05.2020

Bank loan because you loan the bank after u took money from the bank

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robert7248

14.03.2022

It's bank loan because the other 3 ones are granting you money for college

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southsan2021

16.03.2022

$(p -5q)(p^{2}+5pq+25q^2})$

Step-by-step explanation:

The given expression is:

$p^{3}-125q^3$

The related formula is:

$a^3-b^3=(a-b)(a^{2}+ab+b^{2})$

We can transform the given expression in the form of a³ - b³ as shown below:

$p^{3}-125q^3\\= p^{3} - 5^{3}q^{3}\\=p^{3}-(5q)^{3}$

Now here a = p and b = 5q. Using the above factorization, we get:

$p^{3}-125q^{3}\\\\ = p^{3}-(5q)^{3}\\\\ = (p -5q)(p^{2}+5pq+25q^2})$

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