How do you combine like terms in #2( x ^ { 2} + 4x + 2) + 4( x ^ { 2} + 3x - 2)#?

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Answer 1 · 2018-05-22T00:46:41

#6x^2 +20x -4#

Expand.

#2x^2 +8x +4 +4x^2 +12x -8#

Collect the like terms.

#2x^2 +4x^2 =6x^2#

#8x +12x=20x#

and #4+(-8) =-4#

So #6x^2 +20x -4#

Answer 2 · 2018-05-22T00:47:27

#2(x^2+4x+2)+4(x^2+3x-2)=color(blue)(6x^2+20x-4#

Simplify:

#2(x^2+4x+2)+4(x^2+3x-2)#

Expand #2(x^2+4x+2)#.

#2x^2+8x+4+4(x^2+3x-2)#

Expand #4(x^2+3x-2)#.

#2x^2+8x+4+4x^2+12x-8#

Collect like terms.

#(2x^2+4x^2)+(8x+12x)+(4-8)#

Combine like terms.

#6x^2+20x-4#