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Expand the expression
Answer
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Factorize the expression
Answer
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$1+14x ^{ 2 } y+49x ^{ 4 } y ^{ 2 }$
$49 x ^ { 4 } y ^ { 2 } + 14 x ^ { 2 } y + 1$
Organize polynomials
$\color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 14 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 49 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 49 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 14 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$\left ( 7 x ^ { 2 } y + 1 \right ) ^ { 2 }$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 14 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 49 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Expand the expression $ $
$\color{#FF6800}{ 49 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 14 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 49 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 14 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$ $ Use the factoring formula, $ a^{2} + 2ab + b^{2} = \left(a+b\right)^{2}$
$\left ( \color{#FF6800}{ 7 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
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