An algebra problem by om tripathi
Factorize 2 7 a 3 + 1 2 5 b 3 .
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2 solutions
Add that : a 3 + b 3 = ( a + b ) ( a 2 − a b + b 2 )
You didn't add the formula a³ + b³ = (a + b) (a² - ab + b²)
2 7 a 3 + 1 2 5 b 3
= ( 3 a ) 3 + ( 5 b ) 3
= ( 3 a + 5 b ) ( 3 a 2 − 3 a . 5 b + 5 b 2 )
= ( 3 a + 5 b ) ( 9 a 2 − 1 5 a b + 2 5 b 2 )
2 7 a 3 + 1 2 5 b 3 = ( 3 a + 5 b ) ( 9 a 2 − 1 5 a b + 2 5 b 2 )