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

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Answer 1 · 2018-05-22T00:46:41

$6 x^{2} + 20 x - 4$ $6x^2 +20x -4$

Expand.

$2 x^{2} + 8 x + 4 + 4 x^{2} + 12 x - 8$ $2x^2 +8x +4 +4x^2 +12x -8$

Collect the like terms.

$2 x^{2} + 4 x^{2} = 6 x^{2}$ $2x^2 +4x^2 =6x^2$

$8 x + 12 x = 20 x$ $8x +12x=20x$

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

So $6 x^{2} + 20 x - 4$ $6x^2 +20x -4$

Answer 2 · 2018-05-22T00:47:27

$2 (x^{2} + 4 x + 2) + 4 (x^{2} + 3 x - 2) = 6 x^{2} + 20 x - 4$ $2(x^2+4x+2)+4(x^2+3x-2)=color(blue)(6x^2+20x-4$

Simplify:

$2 (x^{2} + 4 x + 2) + 4 (x^{2} + 3 x - 2)$ $2(x^2+4x+2)+4(x^2+3x-2)$

Expand $2 (x^{2} + 4 x + 2)$ $2(x^2+4x+2)$ .

$2 x^{2} + 8 x + 4 + 4 (x^{2} + 3 x - 2)$ $2x^2+8x+4+4(x^2+3x-2)$

Expand $4 (x^{2} + 3 x - 2)$ $4(x^2+3x-2)$ .

$2 x^{2} + 8 x + 4 + 4 x^{2} + 12 x - 8$ $2x^2+8x+4+4x^2+12x-8$

Collect like terms.

$(2 x^{2} + 4 x^{2}) + (8 x + 12 x) + (4 - 8)$ $(2x^2+4x^2)+(8x+12x)+(4-8)$

Combine like terms.

$6 x^{2} + 20 x - 4$ $6x^2+20x-4$

How do you combine like terms in 2(x2+4x+2)+4(x2+3x−2)2( x ^ { 2} + 4x + 2) + 4( x ^ { 2} + 3x - 2)?