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Formula
Expand the expression
Answer
$\left( 3x ^{ 2 } -x+2 \right) + \left( 5x ^{ 2 } +x-3 \right)$
$8 x ^ { 2 } - 1$
Organize polynomials
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
 Get rid of unnecessary parentheses 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 1 + 1 \right ) x + \left ( 2 - 3 \right )$
 Arrange the constant term 
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 1 + 1 \right ) x + \left ( 2 - 3 \right )$
$8 x ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } + \left ( 2 - 3 \right )$
 Organize the mononomial expression 
$8 x ^ { 2 } + \color{#FF6800}{ 0 } + \left ( 2 - 3 \right )$
$8 x ^ { 2 } + 0 + \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
 Arrange the constant term 
$8 x ^ { 2 } + 0 \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$8 x ^ { 2 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } - 1$
 0 does not change when you add or subtract 
$8 x ^ { 2 } - 1$
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