a raise to the power 6 minus b raised to the power 6
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Answer:
Step-by-step explanation:
Answer:
( a + b )( a - b )( a² + b² + ab )( a² + b² - ab )
Step-by-step explanation:
a ki power 6 = a⁶
b ki power 6 = b⁶
minus = -
a⁶ - b⁶
= > ( a² )³ - ( b² )³
Now use the expansion a³ - b³ = ( a - b )( a² + ab + b² )
= > ( a² - b² )( a⁴ + a²b² + b⁴ )
Use a² - b² = ( a + b )( a - b )
= > ( a + b )( a - b )( a⁴ + a²b² + b⁴ )
ye dekh le :
[ a⁴ + a²b² + b⁴
= > a⁴ + 2 a²b² + b⁴ - a²b²
= > ( a² + b² ) - a²b²
= > ( a² + b² + ab )( a² + b² - ab ) ]
Put this in that equation :
= > ( a + b )( a - b )( a² + b² + ab )( a² + b² - ab )
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