How do you simplify $(49 x - 2) + (4 x^{2} + x + 7)$ $(49x-2)+(4x^2+x+7)$ ?

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How do you simplify $(49 x - 2) + (4 x^{2} + x + 7)$ $(49x-2)+(4x^2+x+7)$ ?

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Answer 1 · 2015-06-27T15:19:45

$(49 x - 2) + (4 x^{2} + x + 7) = 4 x^{2} + 50 x + 5$ $(49x-2)+(4x^2+x+7) = 4x^2+50x+5$

Explanation:

Regroup $(49 x - 2) + (4 x^{2} + x + 7)$ $(color(red)(49x) color(blue)(-2)) + (color(orange)(4x^2)color(red)(+x)color(blue)(+7))$
as
$XXXX$ $color(white)("XXXX")$ $(4 x^{2}) + (49 x + x) + (- 2 + 7)$ $(color(orange)(4x^2))+(color(red)(49x+x))+(color(blue)(-2+7))$

$XXXX$ $color(white)("XXXX")$ $= 4 x^{2} + 50 x + 5$ $=color(orange)(4x^2) + color(red)(50x) + color(blue)(5)$

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How do you simplify $(49 x - 2) + (4 x^{2} + x + 7)$ $(49x-2)+(4x^2+x+7)$ ?

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How do you simplify $(49 x - 2) + (4 x^{2} + x + 7)$ $(49x-2)+(4x^2+x+7)$ ?