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Expand the expression
Answer
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$\left( 3x ^{ 3 } -5x ^{ 2 } -6x+3 \right) - \left( 2x ^{ 3 } +4x-8 \right) =$
$x ^ { 3 } - 5 x ^ { 2 } - 10 x + 11$
Organize polynomials
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right )$
$3 x ^ { 3 } - 5 x ^ { 2 } - 6 x + 3 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$3 x ^ { 3 } - 5 x ^ { 2 } - 6 x + 3 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \color{#FF6800}{ 8 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } - 5 x ^ { 2 } + \left ( - 6 - 4 \right ) x + \left ( 3 + 8 \right )$
$ $ Organize the mononomial expression $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } - 5 x ^ { 2 } + \left ( - 6 - 4 \right ) x + \left ( 3 + 8 \right )$
$x ^ { 3 } - 5 x ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } + \left ( 3 + 8 \right )$
$ $ Arrange the constant term $ $
$x ^ { 3 } - 5 x ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ x } + \left ( 3 + 8 \right )$
$x ^ { 3 } - 5 x ^ { 2 } - 10 x + \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right )$
$ $ Arrange the constant term $ $
$x ^ { 3 } - 5 x ^ { 2 } - 10 x + \color{#FF6800}{ 11 }$
Solution search results
search-thumbnail-$Lim$ $x→1\left(\dfrac {x^{3}-5x^{2}+2x+2} {x^{3}+2x^{2}-6x+3^{\right)}}$
7th-9th grade
Calculus
search-thumbnail-$71$ What is the quotient of $x^{4}$ $+2x^{3}-5x^{2}$ $+4x$ $-5$ 5 divided by $x+27$ 
$8$ $x^{3}+5x^{2}$ $-6x+7$ 
$b.$ $x^{3}-6x^{2}-7$ 
$c$ $x^{3}+5x^{2}-6$ 
d. $x^{3}-6x^{2}+6$
10th-13th grade
Other
search-thumbnail-$7.7$ The sum of the polynomials $5x^{2}-6x^{3}+4x-1$ and $3x^{4}-x^{2}-2x+1$ is 
$3x^{4}-6x^{3}-5x^{2}+2x-2$
7th-9th grade
Algebra
search-thumbnail-$2$ Simplify. 
$\left(2x^{3}+3x^{2}-x-5\right)-\left(x^{3}-2x^{2}+5x-1\right)$ 
A. $x^{3}+x^{2}-6x-4$ 
$B$ $x^{3}+5x^{2}+4x-6$ 
C. $x^{3}-5x^{2}+4x-6$ 
D. $x^{3}+5x^{2}-6x-4$
10th-13th grade
Algebra
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