How do you simplify $4 x^{2} + 17 x - 4 - x^{2} + x + 12$ $4x ^ { 2} + 17x - 4- x ^ { 2} + x + 12$ ?

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Answer 1 · 2017-03-09T08:29:25

$3 x^{2} + 18 x + 8$ $3x^2 +18x+8$

Identify the like terms and regroup the expression.

$4 x^{2} + 17 x - 4 - x^{2} + x + 12$ $color(red)(4x^2) color(blue)(+17x)-4color(red)(-x^2)color(blue)(+x)+12$

$= 4 x^{2} - x^{2} + 17 x + x - 4 + 12$ $=color(red)(4x^2-x^2)color(blue)( +17x+x)-4+12$

Add the like terms, keeping the variables the same.

$= 3 x^{2} + 18 x + 8$ $=color(red)(3x^2)color(blue)( +18x)+8$

How do you simplify 4x ^ { 2} + 17x - 4- x ^ { 2} + x + 124x2+17x−4−x2+x+124x ^ { 2} + 17x - 4- x ^ { 2} + x + 12?