27+125aqube+135a+225asquare
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Answer:
27 + 125a³ + 135a + 225a²
[ Using a³ + b³ = (a + b ) (a² - ab + b²) ]
[ Factor out 45a from the expression ]
= (3 + 5a) × (9 - 15a + 25a²) + 45a × (3 + 5a)
[ Factor out (3 + 5a) from the expression ]
= (3 + 5a) × (9 - 15a + 25a² + 45a)
[ Collect the like terms ]
= (3 + 5a) × (9 + 30a + 25a²)
[ Using (a + b)² = a² + 2ab + b² ]
= (3 + 5a) × (3 + 5a)²
[ Write the expression in exponential form with base (3 + 5a) ]
= (3 + 5a)³
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