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Expand the expression
Answer
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Factorize the expression
Answer
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$\left( 3t ^{ 2 } -5t+6 \right) + \left( -8t ^{ 2 } +7t-9 \right)$
$- 5 t ^ { 2 } + 2 t - 3$
Organize polynomials
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ t } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ t } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ t } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ t } \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ t } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ t } \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ t } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } + \left ( - 5 + 7 \right ) t + \left ( 6 - 9 \right )$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } + \left ( - 5 + 7 \right ) t + \left ( 6 - 9 \right )$
$- 5 t ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ t } + \left ( 6 - 9 \right )$
$ $ Arrange the constant term $ $
$- 5 t ^ { 2 } + \color{#FF6800}{ 2 } \color{#FF6800}{ t } + \left ( 6 - 9 \right )$
$- 5 t ^ { 2 } + 2 t + \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right )$
$ $ Arrange the constant term $ $
$- 5 t ^ { 2 } + 2 t \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$- \left ( 5 t ^ { 2 } - 2 t + 3 \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ t } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ t } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ t } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ t } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Bind the expressions with the common factor $ - 1$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ t } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ t } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
Solution search results
search-thumbnail-Simplify: $t$ $\left(3t+2\right)-\left(5t-4\right)+7$ 
$\left(A\right)\left(0$ $3t^{2}$ $-3t+11$ 
$\left(B\right)$ $3t^{2}$ $+7t+11$ 
$\left(C\right)$ $3t^{2}$ $+3t+3$ 
$\left(D\right)$ $3t^{2}$ $+7t-3$
7th-9th grade
Algebra
search-thumbnail-If the sum of two consecutive 
numbers is $45$ and one number is $X$ 
.This statement in the form of 
equation $1s:$ 
$\left(1$ Point) $\right)$ 
$○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ 
$○sx+1ef\left(x+2$ $r1gnt\right)=145s$ 
$sx+1x=45s$
7th-9th grade
Algebra
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