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.

$6x^2+20x-4$

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