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Expand the expression
Answer
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Factorize the expression
Answer
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$34ax ^{ 2 } +51a ^{ 2 } y-68ay ^{ 2 }$
$34 a x ^ { 2 } - 68 a y ^ { 2 } + 51 a ^ { 2 } y$
Organize polynomials
$\color{#FF6800}{ 34 } \color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 51 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 68 } \color{#FF6800}{ a } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 34 } \color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 68 } \color{#FF6800}{ a } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 51 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y }$
$17 a \left ( 3 a y + 2 x ^ { 2 } - 4 y ^ { 2 } \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 34 } \color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 51 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 68 } \color{#FF6800}{ a } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Expand the expression $ $
$\color{#FF6800}{ 34 } \color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 68 } \color{#FF6800}{ a } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 51 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y }$
$\color{#FF6800}{ 34 } \color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 68 } \color{#FF6800}{ a } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 51 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y }$
$ $ Bind the expressions with the common factor $ 17 a$
$\color{#FF6800}{ 17 } \color{#FF6800}{ a } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ y } \right )$
$\color{#FF6800}{ 17 } \color{#FF6800}{ a } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ y } \right )$
$ $ Sort the factors $ $
$\color{#FF6800}{ 17 } \color{#FF6800}{ a } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
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