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Simplify, give answer with non-negative exponents. (2x-y)^2

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schooledmom | (Level 1) Salutatorian

Posted August 21, 2013 at 2:48 AM via web

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Simplify, give answer with non-negative exponents.

(2x-y)^2

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 21, 2013 at 2:57 AM (Answer #1)

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The expression (2x - y)^2 has to be simplified.

Use the expansion (a + b)^2 = a^2 + 2*a*b + b^2

(2x - y)^2

= (2x)^2 - 2*(2x)*y + y^2

= 4x^2 - 4xy + y^2

The simplified form of (2x - y)^2 = 4x^2 - 4xy + y^2

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