How do you simplify $(6 x^{2} - 3 + 5 x^{3}) - (4 x^{3} - 2 x^{2} - 16)$ $(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)$ ?

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How do you simplify $(6 x^{2} - 3 + 5 x^{3}) - (4 x^{3} - 2 x^{2} - 16)$ $(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)$ ?

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Answer 1 · 2016-12-16T16:45:29

$x^{3} + 6 x^{2} + 2 x + 13$ $x^3+6x^2+2x+13$

Explanation:

Write as: $+ 1 (6 x^{2} - 3 + 5 x^{3}) - 1 (4 x^{3} - 2 x - 16)$ $" "+1(6x^2-3+5x^3) -1(4x^3-2x-16)$

The 1's in front of the brackets are not normally written.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Multiply everything inside the left brackets by +1$ $color(blue)("Multiply everything inside the left brackets by +1")$

$6 x^{2} - 3 + 5 x^{3}$ $6x^2-3+5x^3$

Ordering these gives

$5 x^{3} + 6 x^{2} - 3$ $color(blue)(5x^3+6x^2-3)$

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$Multiply everything inside the right brackets by -1$ $color(blue)("Multiply everything inside the right brackets by -1")$

$- 4 x^{3} + 2 x + 16$ $color(blue)(-4x^3+2x+16)$
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$Putting everything together$ $color(blue)("Putting everything together")$

$5 x^{3} + 6 x^{2} - 3 - 4 x^{3} + 2 x + 16$ $5x^3+6x^2-3" "-4x^3+2x+16$

Collecting like terms:

$(5 x^{3} - 4 x^{3}) + 6 x^{2} + 2 x + (16 - 3)$ $(5x^3-4x^3)+6x^2+2x+(16-3)$

$x^{3} + 6 x^{2} + 2 x + 13$ $color(blue)(x^3+6x^2+2x+13)$

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How do you simplify $(6 x^{2} - 3 + 5 x^{3}) - (4 x^{3} - 2 x^{2} - 16)$ $(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)$ ?

1 Answer

Explanation:

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How do you simplify (6x2−3+5x3)−(4x3−2x2−16)(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)?

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Explanation:

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How do you simplify $(6 x^{2} - 3 + 5 x^{3}) - (4 x^{3} - 2 x^{2} - 16)$ $(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)$ ?