rebeccathecatt rebeccathecatt

18-04-2019
Mathematics

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How do I factor this equation?

[tex]5x^{2} - 125y^{2}[/tex]

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altavistard altavistard

18-04-2019

Answer:

5(x - 5y)(x + 5y)

Step-by-step explanation:

Note that 5 is common to both terms. Thus,

5x² - 125y² = 5(x² - 25y²).

Also note that x² - 25y² is the difference of two squares and has factors (x - 5y) and (x + 5y).

In fully factored form, 5(x² - 25y²) is:

5(x - 5y)(x + 5y)

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