27a^3+125b^3 find this
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Answered by
22
Given,
An algebraic expression 27a³ + 125b³
To find,
Express in the simple form
Solution,
27a³ can be expressed as (3a)³ similarly 125b³ can be expressed as (5b)³.
Hence, the algebraic expression 27a³ + 125b³ can also be expressed in the form of (3a)³ + (5b)³.
The formula of a³ + b³ = (a + b)(a² -ab + b²)
⇒ Therefore, (3a)³ + (5b)³ = ( 3a + 5b )( (3a)² - (3a)(5b) + (5b)² )
⇒ (3a)³ + (5b)³ = ( 3a + 5b )( 9a² - 15ab + 25b² ).
Hence, 27a³ + 125b³ = ( 3a + 5b )( 9a² - 15ab + 25b² ).
Answered by
1
Answer:
Hence, 27a³ + 125b³ = ( 3a + 5b )( 9a² - 15ab + 25b² ).
Step-by-step explanation:
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