Evaluate
64p^{2}+49p+54
Expand
64p^{2}+49p+54
Share
Copied to clipboard
66p^{2}+44p+55-\left(2p^{2}-5p+1\right)
Use the distributive property to multiply 11 by 6p^{2}+4p+5.
66p^{2}+44p+55-2p^{2}+5p-1
To find the opposite of 2p^{2}-5p+1, find the opposite of each term.
64p^{2}+44p+55+5p-1
Combine 66p^{2} and -2p^{2} to get 64p^{2}.
64p^{2}+49p+55-1
Combine 44p and 5p to get 49p.
64p^{2}+49p+54
Subtract 1 from 55 to get 54.
66p^{2}+44p+55-\left(2p^{2}-5p+1\right)
Use the distributive property to multiply 11 by 6p^{2}+4p+5.
66p^{2}+44p+55-2p^{2}+5p-1
To find the opposite of 2p^{2}-5p+1, find the opposite of each term.
64p^{2}+44p+55+5p-1
Combine 66p^{2} and -2p^{2} to get 64p^{2}.
64p^{2}+49p+55-1
Combine 44p and 5p to get 49p.
64p^{2}+49p+54
Subtract 1 from 55 to get 54.
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}