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Formula
Expand the expression
Answer
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Factorize the expression
Answer
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$a ^{ 2 } +9b ^{ 2 } +4c ^{ 2 } -6ab+12bc-4ca$
$a ^ { 2 } - 6 a b - 4 a c + 9 b ^ { 2 } + 12 b c + 4 c ^ { 2 }$
Organize polynomials
$a ^ { 2 } + 9 b ^ { 2 } + 4 c ^ { 2 } - 6 a b + 12 b c \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ c } \color{#FF6800}{ a }$
$ $ Sort the order of variables in the mononomial expression $ $
$a ^ { 2 } + 9 b ^ { 2 } + 4 c ^ { 2 } - 6 a b + 12 b c \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ c }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ c }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
$\left ( a - 3 b - 2 c \right ) ^ { 2 }$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ c } \color{#FF6800}{ a }$
$ $ Organize equations using specific formulas $ $
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ c } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ c } \right ) ^ { 2 }$
$ $ Bind the expressions with the common factor $ - 1$
$\left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ c } \right ) \right ) ^ { 2 }$
$\left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ c } \right ) \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Arrange the symbol inside the power $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ c } \right ) ^ { \color{#FF6800}{ 2 } }$
Solution search results
search-thumbnail-$9p^{2}-24p9^{+16}9^{2+3ap}$ $-4a9$ 
$3-9p^{2}$ 
$p^{4}-11p^{2}y^{2}+9^{4}$ 
$y$ . $a^{2}-6ab+12bc-4c^{2}$ 
$12$ $a^{2}-9b^{2}+4c^{2}-25d^{2}-4ac+30$ 
$x\left(x^{2}$ $y^{2}\right)\left(a^{2}-b^{2}\right)+4abxy$
7th-9th grade
Algebra
search-thumbnail-$\left(a^{2}+9b^{2}-6ab\right)$ $-4c^{2}$ 
$4$
7th-9th grade
Algebra
search-thumbnail-$=\left(2x-2y\right)\left(2x$ $-$ 
$32$ 
1. 16 $\dfrac {y^{4}} {81}$ $2.m^{2}+\dfrac {1} {m^{2}}+2-2m-\dfrac {2} {m}$ $3.9p^{2}-24p9^{+16}9^{2+3}$ $3a0-4a9$ 
$44x^{4}+8l$ 5. $x^{4}-7x^{2}+1$ 6. $1$ $p^{4}-11p^{2}9^{2^{°}+9^{4}}$ 
$7a^{2}+b^{2}-c^{2}-2ab$ 8.3a $\left(3a+2c\right)-4b\left(b+c\right)$ $9.a^{2}-6ab+12bc-4c^{2}$ 
10. $3a^{2}+4ab+b^{2}-2ac-c^{2}$ $11.x^{2}-y^{2}-6ax+2ay+8a^{2}$ 12. $a^{2}-9b^{2}+4c^{2}-25d^{2}-4ac+30bd$ 
$2$ $13.3a-b^{2}-c^{2}+2ab-2bc+2ca$ $14.x^{2}-2x-22499$ 15. $\left(x^{2}-y^{2}\right)\left(a^{2}-b^{2}\right)+4$ 4abxy 

115
7th-9th grade
Other
search-thumbnail-
$3$ $3a\left(3a+2c\right)-4b\left(b+c\right)$ 
$9$ $a^{2}-6ab+12bc-4c^{2}$ 
$10$ $3a^{2+4ab+b^{2}-2ac-c^{2}}$ 
$11.$ $x^{2}-y^{2}-6ax+2ay+8a^{2}$ 
$12$ $a^{2}-9b^{2}+4c^{2}-25d^{2}-4ac+30bd$ 
$13$ $3a^{2}-b^{2}-c^{2}+2ab-2bc+2ca$ 
$14$ $x^{2}-2x-22499$ 
$15.$ $\left(x^{2}-y^{2}\right)\left(a^{2}-b^{2}\right)+4abxy$
10th-13th grade
Other
search-thumbnail-$8$ $3a\left(3a+2c\right)-4b\left(b+c\right)$ 
$9.$ $a^{2}-6ab+12bc-4c^{2}$ 
$10$ $3a^{2+4ab+b^{2}}-2ac-c^{2}$ 
$11$ $x^{2}-y^{2}-6ax+2ay+8a^{2}$ 
$12$ $2^{2}-9b^{2}+4c^{2}-25d^{2}-4ac+30bd$ 
$13.3$ $3a^{2}-b^{2}-c^{2}+2ab-2bc+2ca$ 
$14$ $x^{2}-2x-22499$ 
$15$ $\left(x^{2}-y^{2}\right)\left(a^{2}-b^{2}\right)+4abxy$
10th-13th grade
Other
search-thumbnail-$Factori2e$ 
$25a^{2}$ $-9b^{2}+12bc-4c^{2}$
7th-9th grade
Geometry
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