Evaluate
21x^{2}+76x-65
Expand
21x^{2}+76x-65
Graph
Share
Copied to clipboard
-28x^{2}+35x+20x-25-\left(-7x+5\right)\left(7x+8\right)
Apply the distributive property by multiplying each term of -7x+5 by each term of 4x-5.
-28x^{2}+55x-25-\left(-7x+5\right)\left(7x+8\right)
Combine 35x and 20x to get 55x.
-28x^{2}+55x-25-\left(-49x^{2}-56x+35x+40\right)
Apply the distributive property by multiplying each term of -7x+5 by each term of 7x+8.
-28x^{2}+55x-25-\left(-49x^{2}-21x+40\right)
Combine -56x and 35x to get -21x.
-28x^{2}+55x-25-\left(-49x^{2}\right)-\left(-21x\right)-40
To find the opposite of -49x^{2}-21x+40, find the opposite of each term.
-28x^{2}+55x-25+49x^{2}-\left(-21x\right)-40
The opposite of -49x^{2} is 49x^{2}.
-28x^{2}+55x-25+49x^{2}+21x-40
The opposite of -21x is 21x.
21x^{2}+55x-25+21x-40
Combine -28x^{2} and 49x^{2} to get 21x^{2}.
21x^{2}+76x-25-40
Combine 55x and 21x to get 76x.
21x^{2}+76x-65
Subtract 40 from -25 to get -65.
-28x^{2}+35x+20x-25-\left(-7x+5\right)\left(7x+8\right)
Apply the distributive property by multiplying each term of -7x+5 by each term of 4x-5.
-28x^{2}+55x-25-\left(-7x+5\right)\left(7x+8\right)
Combine 35x and 20x to get 55x.
-28x^{2}+55x-25-\left(-49x^{2}-56x+35x+40\right)
Apply the distributive property by multiplying each term of -7x+5 by each term of 7x+8.
-28x^{2}+55x-25-\left(-49x^{2}-21x+40\right)
Combine -56x and 35x to get -21x.
-28x^{2}+55x-25-\left(-49x^{2}\right)-\left(-21x\right)-40
To find the opposite of -49x^{2}-21x+40, find the opposite of each term.
-28x^{2}+55x-25+49x^{2}-\left(-21x\right)-40
The opposite of -49x^{2} is 49x^{2}.
-28x^{2}+55x-25+49x^{2}+21x-40
The opposite of -21x is 21x.
21x^{2}+55x-25+21x-40
Combine -28x^{2} and 49x^{2} to get 21x^{2}.
21x^{2}+76x-25-40
Combine 55x and 21x to get 76x.
21x^{2}+76x-65
Subtract 40 from -25 to get -65.
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}