Simplify (x² - 15x + 36)/(5x - 60)?

Solution:

Given: Expression is (x² - 15x + 36)/(5x - 60)

First find the factor of x² - 15x + 36

= x² - 15x + 36

= x² - 12x - 3x + 36

By taking out the common terms

= x(x -12) - 3(x - 12)

= (x - 3)(x - 12)

Now, divide (5x - 60) by 5, we get

(5x - 60)/5 = 5(x - 12)

⇒ Now, (x² - 15x + 36)/(5x - 60)

= [(x - 3)(x - 12)]/[5(x - 12)]

On simplifying, we get

= (x - 3)/5

Therefore, (x² - 15x + 36)/(5x - 60) = (x - 3)/5

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Simplify (x² - 15x + 36)/(5x - 60)?

Summary:

By simplification, (x² - 15x + 36)/(5x - 60) is (x - 3)/5.