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36x-33
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36x-33
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9x^{2}+6x-8-\left(3x-5\right)^{2}
Use the distributive property to multiply 3x-2 by 3x+4 and combine like terms.
9x^{2}+6x-8-\left(9x^{2}-30x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-5\right)^{2}.
9x^{2}+6x-8-9x^{2}+30x-25
To find the opposite of 9x^{2}-30x+25, find the opposite of each term.
6x-8+30x-25
Combine 9x^{2} and -9x^{2} to get 0.
36x-8-25
Combine 6x and 30x to get 36x.
36x-33
Subtract 25 from -8 to get -33.
9x^{2}+6x-8-\left(3x-5\right)^{2}
Use the distributive property to multiply 3x-2 by 3x+4 and combine like terms.
9x^{2}+6x-8-\left(9x^{2}-30x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-5\right)^{2}.
9x^{2}+6x-8-9x^{2}+30x-25
To find the opposite of 9x^{2}-30x+25, find the opposite of each term.
6x-8+30x-25
Combine 9x^{2} and -9x^{2} to get 0.
36x-8-25
Combine 6x and 30x to get 36x.
36x-33
Subtract 25 from -8 to get -33.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
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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}