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13x^{2}+30x-11
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13x^{2}+30x-11
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16x^{2}+16x+4-\left(3x-5\right)\left(x-3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+2\right)^{2}.
16x^{2}+16x+4-\left(3x^{2}-14x+15\right)
Use the distributive property to multiply 3x-5 by x-3 and combine like terms.
16x^{2}+16x+4-3x^{2}+14x-15
To find the opposite of 3x^{2}-14x+15, find the opposite of each term.
13x^{2}+16x+4+14x-15
Combine 16x^{2} and -3x^{2} to get 13x^{2}.
13x^{2}+30x+4-15
Combine 16x and 14x to get 30x.
13x^{2}+30x-11
Subtract 15 from 4 to get -11.
16x^{2}+16x+4-\left(3x-5\right)\left(x-3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+2\right)^{2}.
16x^{2}+16x+4-\left(3x^{2}-14x+15\right)
Use the distributive property to multiply 3x-5 by x-3 and combine like terms.
16x^{2}+16x+4-3x^{2}+14x-15
To find the opposite of 3x^{2}-14x+15, find the opposite of each term.
13x^{2}+16x+4+14x-15
Combine 16x^{2} and -3x^{2} to get 13x^{2}.
13x^{2}+30x+4-15
Combine 16x and 14x to get 30x.
13x^{2}+30x-11
Subtract 15 from 4 to get -11.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}