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Expand the expression
Answer
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Factorize the expression
Answer
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$3a ^{ 2 } +2b ^{ 2 } +6c ^{ 2 } +7ab+11ac+7bc$
$3 a ^ { 2 } + 7 a b + 11 a c + 2 b ^ { 2 } + 7 b c + 6 c ^ { 2 }$
Organize polynomials
$\color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
$\left ( a + 2 b + 3 c \right ) \left ( 3 a + b + 2 c \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$ $ Expand the expression $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ c } \right )$
Solution search results
search-thumbnail-Sum of 
$a^{2}+b^{2}-6ab,$ $a^{2}.2b^{2}+ab$ $3b^{2}+6,a^{2}-2ab$ 
$An5wer:$ 
$A$ $3a^{2}+2b^{2}$ $-7ab+6$ 00 
$B$ $3a^{2}$ $-2b^{2}$ $-7ab+6$ 000 
$C$ $3a^{2}+2b^{2}$ $-7ab+6$ 000 
$D$ $3a^{2}+4b^{2}$ $-8ab-6$ 000
7th-9th grade
Algebra
search-thumbnail-$11.$ $\dfrac {a^{2}+7ab+12b^{2}} {a^{2}-b^{2}}\div \dfrac {a+4b} {a-b}$ 
$12$ $\dfrac {x^{2}+3x+2} {x^{2}+7x+12}\times \dfrac {x+3} {x+2}$
7th-9th grade
Algebra
search-thumbnail-$11.$ $\dfrac {a^{2}+7ab+12b^{2}} {a^{2}-b^{2}}\div \dfrac {a+4b} {a-b}$ 
$12$ $\dfrac {x^{2}+3x+2} {x^{2}+7x+12}\times \dfrac {x+3} {x+2}$
7th-9th grade
Algebra
search-thumbnail-E $a^{\dfrac {a-b} {-b^{2}}\div \dfrac {a^{2}+ab+b} {a^{2}+2ab+b}}$ 
$a^{2}+7ab+12b$ $\div a+4b$
7th-9th grade
Algebra
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