Evaluate
\frac{7a^{2}}{4}-\frac{a}{2}+2
Expand
\frac{7a^{2}}{4}-\frac{a}{2}+2
Share
Copied to clipboard
3a^{2}-\frac{1}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-\left(5a^{2}-\frac{1}{6}a-6-4a^{2}\right)
To find the opposite of \frac{1}{2}a^{2}-\frac{1}{3}a+4, find the opposite of each term.
\frac{5}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-\left(5a^{2}-\frac{1}{6}a-6-4a^{2}\right)
Combine 3a^{2} and -\frac{1}{2}a^{2} to get \frac{5}{2}a^{2}.
\frac{5}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-\left(a^{2}-\frac{1}{6}a-6\right)
Combine 5a^{2} and -4a^{2} to get a^{2}.
\frac{5}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-a^{2}+\frac{1}{6}a+6
To find the opposite of a^{2}-\frac{1}{6}a-6, find the opposite of each term.
\frac{5}{2}a^{2}+\frac{1}{3}a-4-\frac{3}{4}a^{2}-a+\frac{1}{6}a+6
Combine \frac{1}{4}a^{2} and -a^{2} to get -\frac{3}{4}a^{2}.
\frac{5}{2}a^{2}+\frac{1}{3}a-4-\frac{3}{4}a^{2}-\frac{5}{6}a+6
Combine -a and \frac{1}{6}a to get -\frac{5}{6}a.
\frac{7}{4}a^{2}+\frac{1}{3}a-4-\frac{5}{6}a+6
Combine \frac{5}{2}a^{2} and -\frac{3}{4}a^{2} to get \frac{7}{4}a^{2}.
\frac{7}{4}a^{2}-\frac{1}{2}a-4+6
Combine \frac{1}{3}a and -\frac{5}{6}a to get -\frac{1}{2}a.
\frac{7}{4}a^{2}-\frac{1}{2}a+2
Add -4 and 6 to get 2.
3a^{2}-\frac{1}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-\left(5a^{2}-\frac{1}{6}a-6-4a^{2}\right)
To find the opposite of \frac{1}{2}a^{2}-\frac{1}{3}a+4, find the opposite of each term.
\frac{5}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-\left(5a^{2}-\frac{1}{6}a-6-4a^{2}\right)
Combine 3a^{2} and -\frac{1}{2}a^{2} to get \frac{5}{2}a^{2}.
\frac{5}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-\left(a^{2}-\frac{1}{6}a-6\right)
Combine 5a^{2} and -4a^{2} to get a^{2}.
\frac{5}{2}a^{2}+\frac{1}{3}a-4+\frac{1}{4}a^{2}-a-a^{2}+\frac{1}{6}a+6
To find the opposite of a^{2}-\frac{1}{6}a-6, find the opposite of each term.
\frac{5}{2}a^{2}+\frac{1}{3}a-4-\frac{3}{4}a^{2}-a+\frac{1}{6}a+6
Combine \frac{1}{4}a^{2} and -a^{2} to get -\frac{3}{4}a^{2}.
\frac{5}{2}a^{2}+\frac{1}{3}a-4-\frac{3}{4}a^{2}-\frac{5}{6}a+6
Combine -a and \frac{1}{6}a to get -\frac{5}{6}a.
\frac{7}{4}a^{2}+\frac{1}{3}a-4-\frac{5}{6}a+6
Combine \frac{5}{2}a^{2} and -\frac{3}{4}a^{2} to get \frac{7}{4}a^{2}.
\frac{7}{4}a^{2}-\frac{1}{2}a-4+6
Combine \frac{1}{3}a and -\frac{5}{6}a to get -\frac{1}{2}a.
\frac{7}{4}a^{2}-\frac{1}{2}a+2
Add -4 and 6 to get 2.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}