factorise a square + b square + 2ab + 2 BC + 2 CA
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Your answer
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FACTORISATION
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a² + b² + 2ab + 2bc + 2ca
=> a² + b² + c² + 2ab + 2bc + 2ca - c² [Adding and subtracting c².]
=> (a² + b² + c² + 2ab + 2bc + 2ca) - c²
=> (a + b + c)² - c²
=> (a + b + c + c)(a + b + c - c). [Using identity => a² - b² = (a + b)(a - b)]
=> (a + b + 2c)(a + b)
HOPE IT HELPS
---------------
Your answer
--------------------
FACTORISATION
---------------------------
a² + b² + 2ab + 2bc + 2ca
=> a² + b² + c² + 2ab + 2bc + 2ca - c² [Adding and subtracting c².]
=> (a² + b² + c² + 2ab + 2bc + 2ca) - c²
=> (a + b + c)² - c²
=> (a + b + c + c)(a + b + c - c). [Using identity => a² - b² = (a + b)(a - b)]
=> (a + b + 2c)(a + b)
HOPE IT HELPS
gogoineeha:
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