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4x^{2}-14x+7
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4x^{2}-14x+7
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3x^{2}-12x-2x+8+\left(x-1\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 3x-2 by each term of x-4.
3x^{2}-14x+8+\left(x-1\right)\left(x+1\right)
Combine -12x and -2x to get -14x.
3x^{2}-14x+8+x^{2}-1^{2}
Consider \left(x-1\right)\left(x+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
3x^{2}-14x+8+x^{2}-1
Calculate 1 to the power of 2 and get 1.
4x^{2}-14x+8-1
Combine 3x^{2} and x^{2} to get 4x^{2}.
4x^{2}-14x+7
Subtract 1 from 8 to get 7.
3x^{2}-12x-2x+8+\left(x-1\right)\left(x+1\right)
Apply the distributive property by multiplying each term of 3x-2 by each term of x-4.
3x^{2}-14x+8+\left(x-1\right)\left(x+1\right)
Combine -12x and -2x to get -14x.
3x^{2}-14x+8+x^{2}-1^{2}
Consider \left(x-1\right)\left(x+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
3x^{2}-14x+8+x^{2}-1
Calculate 1 to the power of 2 and get 1.
4x^{2}-14x+8-1
Combine 3x^{2} and x^{2} to get 4x^{2}.
4x^{2}-14x+7
Subtract 1 from 8 to get 7.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}