How do you simplify $(- 12 x^{3} + 5 x - 23) - (4 x^{4} + 31 - 9 x^{3})$ $(-12x^3+5x-23)-(4x^4+31-9x^3)$ ?

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Answer 1 · 2018-06-06T11:25:15

$= - 4 x^{4} - 3 x^{3} + 5 x - 54$ $=-4x^4-3x^3 +5x-54$

In order to simplify you need to add the like terms.

Remove the brackets first.

$(- 12 x^{3} + 5 x - 23) - (4 x^{4} + 31 - 9 x^{3})$ $(-12x^3+5x-23)color(red)(-(4x^4+31-9x^3))$

$= - 12 x^{3} + 5 x - 23 - 4 x^{4} - 31 + 9 x^{3} \leftarrow$ $= -12x^3+5x-23 color(red)(-4x^4-31+9x^3)" "larr$ note the signs

$= - 4 x^{4} - 12 x^{3} + 9 x^{3} + 5 x - 23 - 31 \leftarrow$ $=-4x^4-12x^3+9x^3 +5x-23-31" "larr$ re-arrange

$= - 4 x^{4} - 3 x^{3} + 5 x - 54 \leftarrow$ $=-4x^4-3x^3 +5x-54" "larr$ add like terms

How do you simplify (−12x3+5x−23)−(4x4+31−9x3)(-12x^3+5x-23)-(4x^4+31-9x^3)?