What property is used to rewrite (x + 2)(y + z) as y (x + 2) + z (x + 2)

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04-12-2021
Mathematics

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What property is used to rewrite (x + 2)(y + z) as y (x + 2) + z (x + 2)

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Osmelpino363idn Osmelpino363idn · Answer 1 · 2021-12-04T20:55:20-05:00

Answer:

Distributive Property

Step-by-step explanation (if you were to show the steps):

(x+2)(y+z) (first expression)

xy + xz + 2y + 2z (Distributive Property of Multiplication)

yx + 2y + zx + 2z (use the Commutative Property of Addition and Commutative Property of Multiplication to group xy (also known as yx) and 2y together, and to group xz (also known as zx) and 2z together)

y(x + 2) + z(x + 2) (use factoring to get the rewritten expression at the end)

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