Evaluate
\left(5w-7\right)\left(7w-1\right)
Expand
35w^{2}-54w+7
Share
Copied to clipboard
35w^{2}-49w-\left(5w-7\right)
Use the distributive property to multiply 7w by 5w-7.
35w^{2}-49w-5w-\left(-7\right)
To find the opposite of 5w-7, find the opposite of each term.
35w^{2}-49w-5w+7
The opposite of -7 is 7.
35w^{2}-54w+7
Combine -49w and -5w to get -54w.
35w^{2}-49w-\left(5w-7\right)
Use the distributive property to multiply 7w by 5w-7.
35w^{2}-49w-5w-\left(-7\right)
To find the opposite of 5w-7, find the opposite of each term.
35w^{2}-49w-5w+7
The opposite of -7 is 7.
35w^{2}-54w+7
Combine -49w and -5w to get -54w.
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}