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Combine like terms. A)2y-8y+9-12^2-8y+3  B)4(2-x)-3(-5-12x)

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smith1767 | Student, Undergraduate | (Level 3) eNoter

Posted February 22, 2013 at 1:33 PM via web

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Combine like terms. A)2y-8y+9-12^2-8y+3  B)4(2-x)-3(-5-12x)

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted February 22, 2013 at 1:51 PM (Answer #1)

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Combine like terms: like terms have the same variables to the same power,

(a) `2y-8y+9-12^2-8y+3`

==> 2y-8y+9-144-8y+3  Since addition is commutative we can write

==> 2y-8y-8y+9+3-144

==> 2y-8y-8y-132  Now factor a common y out of the first 3 terms

==>y(2-8-8)-132

==>-14y-132

(b) 4(2-x)-3(-5-12x)  Use the distributive property to lose ():

==>8-4x+15+36x  rewrite using teh commutative property

==>-4x+36x+8+15 factor a common x out of the first 2 terms

==>x(-4+36)+23

==>32x+23

 

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