SIMPLIFYING MONOMIALS WITH EXPONENTS

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Example 13 :

(7b² + 14b)/b

Solution :

= (7b² + 14b)/b

Factoring 7b, we get

= 7b(b + 2) / b

Cancelling b, we get

= 7(b + 2)

Example 14 :

(-9h⁴ + 27h³)/h²

Solution :

= (-9h⁴ + 27h³)/h²

Factoring h² from the numerator, we get

= h²(-9h² + 27h)/h²

= -9h² + 27h

Example 15 :

(2n³ + 8n² - 20n)/2n

Solution :

= (2n³ + 8n² - 20n)/2n

Factoring 2n from the numerator, we get

= 2n(n² + 4n - 10)/2n

= n² + 4n - 10

Example 16 :

(4x⁵ - x⁷ + 7x⁴)/x³

Solution :

= (4x⁵ - x⁷ + 7x⁴)/x³

Factoring x3 from the numerator, we get

= x³(4x² - x⁴ + 7x)/x³

= 4x² - x⁴ + 7x