Solve a3+b3+a+b...Wrong answers will be reported!
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Answer:
( a + b )( a^2 - ab + b^2 + 1 )
Step-by-step explanation:
( a + b )^3 = a^3 + b^3 + 3ab( a + b )
⇒ a^3 + b^3 = ( a + b )^3 - 3ab( a + b )
Here,
⇒ a^3 + b^3 + a + b
⇒ a^3 + b ^3 + ( a + b )
From above,
⇒ ( a + b )^3 - 3ab( a + b ) + ( a + b )
⇒ ( a + b )[ ( a + b )^2 - 3ab + 1 ]
⇒ ( a + b )[ a^2 + b^2 + 2ab - 3ab + 1 ]
⇒ ( a + b )[ a^2 + b^2 - ab + 1 ]
⇒ ( a + b )( a^2 - ab + b^2 + 1 )
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