Math, asked by AngeshKumarSingh, 1 year ago

Simplify the following expression
=>(x+y-1)^3

Answers

Answered by ArchitectSethRollins
6
Hi friend
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Your answer
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★ SIMPLIFICATION
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(x + y - 1)³

Using identity => (a+b+c)³ = a³ + b³ + c³ +3(a+b)(b+c)(c+a)

=> (x)³ + (y)³ + (-1)³ + 3(x + y)(y - 1)( -1 + x)

=> x³ + y³ - 1 + 3(x+y)( -y + xy + 1 - x)

=> x³ + y³ - 1 + 3( -xy + x²y + x - x² - y² + xy² + y - xy)

=> x³ + y³ - 1 + 3( x + y -2xy -x² - y²+ x²y + xy²)


=> x³ + y³ - 1 + 3x + 3y - 6xy - 3x² - 3y² + 3x²y + 3xy²

HOPE IT HELPS

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