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Expand the expression
Answer
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$\left( 7x ^{ 2 } y-2x ^{ 3 } y ^{ 2 } +5x-4 \right) - \left( 3x ^{ 2 } y+4x-5x ^{ 3 } y ^{ 2 } +7 \right)$
$3 x ^ { 3 } y ^ { 2 } + 4 x ^ { 2 } y + x - 11$
Organize polynomials
$\left ( \color{#FF6800}{ 7 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ 7 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right )$
$7 x ^ { 2 } y - 2 x ^ { 3 } y ^ { 2 } + 5 x - 4 - \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right )$
$ $ Sort the polynomial expressions in descending order $ $
$7 x ^ { 2 } y - 2 x ^ { 3 } y ^ { 2 } + 5 x - 4 - \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right )$
$7 x ^ { 2 } y - 2 x ^ { 3 } y ^ { 2 } + 5 x - 4 \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$7 x ^ { 2 } y - 2 x ^ { 3 } y ^ { 2 } + 5 x - 4 + \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 7 }$
$\color{#FF6800}{ 7 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 7 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \right )$
$\left ( \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } + \left ( - 2 + 5 \right ) x ^ { 3 } y ^ { 2 } + \left ( 5 - 4 \right ) x + \left ( - 4 - 7 \right )$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } + \left ( - 2 + 5 \right ) x ^ { 3 } y ^ { 2 } + \left ( 5 - 4 \right ) x + \left ( - 4 - 7 \right )$
$4 x ^ { 2 } y + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } + \left ( 5 - 4 \right ) x + \left ( - 4 - 7 \right )$
$ $ Arrange the constant term $ $
$4 x ^ { 2 } y + \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } + \left ( 5 - 4 \right ) x + \left ( - 4 - 7 \right )$
$4 x ^ { 2 } y + 3 x ^ { 3 } y ^ { 2 } + \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } + \left ( - 4 - 7 \right )$
$ $ Organize the mononomial expression $ $
$4 x ^ { 2 } y + 3 x ^ { 3 } y ^ { 2 } + \color{#FF6800}{ x } + \left ( - 4 - 7 \right )$
$4 x ^ { 2 } y + 3 x ^ { 3 } y ^ { 2 } + x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \right )$
$ $ Arrange the constant term $ $
$4 x ^ { 2 } y + 3 x ^ { 3 } y ^ { 2 } + x \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
Solution search results
search-thumbnail-$.$ Add the following polynomials. 
$\left(1\right)$ $\left(7x^{2}-9\right)+\left(3x^{2}-1\right)$ 
$.$ $\left(11\right)$ $\left(6x-y\right)+\left(6y-x\right)+\left(2x-2y+3\right)$ 
$\left(i11\right)$ $\left(3x^{2}+2xy+3y^{2}\right)+\left(2x^{2}-5xy+2y^{2}\right)$ 
$\left(iV\right)$ $\left(8x^{3}-3x^{2}y+4xy^{2}-y^{3}\right)$ 
$+\left(3y^{3}-2y^{2}x+5x^{2}y-6x^{3}\right)$ 
$\left($ (v) $\left(7x^{2}y^{2}+5xy-4\right)+\left(7-3xy\right)+\left(9-9x^{2}y^{2}\right)$ 
$\left(M1\right)$ $\left(x^{3}y^{2}-x^{2}y+xy\right)+\left(x^{2}y-2x^{3}y^{2}-2xy\right)$ 
$+\left(x^{3}y^{2}+4xy\right)$
1st-6th grade
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