Evaluate
15-29x-14x^{2}
Expand
15-29x-14x^{2}
Graph
Share
Copied to clipboard
35x^{2}-71x+24-\left(7x-3\right)^{2}
Use the distributive property to multiply 5x-8 by 7x-3 and combine like terms.
35x^{2}-71x+24-\left(49x^{2}-42x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7x-3\right)^{2}.
35x^{2}-71x+24-49x^{2}+42x-9
To find the opposite of 49x^{2}-42x+9, find the opposite of each term.
-14x^{2}-71x+24+42x-9
Combine 35x^{2} and -49x^{2} to get -14x^{2}.
-14x^{2}-29x+24-9
Combine -71x and 42x to get -29x.
-14x^{2}-29x+15
Subtract 9 from 24 to get 15.
35x^{2}-71x+24-\left(7x-3\right)^{2}
Use the distributive property to multiply 5x-8 by 7x-3 and combine like terms.
35x^{2}-71x+24-\left(49x^{2}-42x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7x-3\right)^{2}.
35x^{2}-71x+24-49x^{2}+42x-9
To find the opposite of 49x^{2}-42x+9, find the opposite of each term.
-14x^{2}-71x+24+42x-9
Combine 35x^{2} and -49x^{2} to get -14x^{2}.
-14x^{2}-29x+24-9
Combine -71x and 42x to get -29x.
-14x^{2}-29x+15
Subtract 9 from 24 to get 15.
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}