simplify (a+b+c)²-(a-b-c)²
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Using
x² - y² = ( x + y ).( x - y )
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(a+b+c)² - (a-b-c)²
= {a+b+c+(a-b-c)}{a+b+c-(a-b-c)}
= {a+++a--}{+b+c-a+b+c}
= (2a) (2b+2c)
or
= 4ab + 4ac
or
= 4a ( b+c )
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