Evaluate
7x+19
Expand
7x+19
Graph
Quiz
Polynomial
5 problems similar to:
2 ( x + 1 ) ^ { 2 } - 3 ( x - 3 ) ( 3 + x ) + ( x + 5 ) ( x - 2 )
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2\left(x^{2}+2x+1\right)-3\left(x-3\right)\left(3+x\right)+\left(x+5\right)\left(x-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x^{2}+4x+2-3\left(x-3\right)\left(3+x\right)+\left(x+5\right)\left(x-2\right)
Use the distributive property to multiply 2 by x^{2}+2x+1.
2x^{2}+4x+2-3\left(x-3\right)\left(3+x\right)+x^{2}+3x-10
Use the distributive property to multiply x+5 by x-2 and combine like terms.
2x^{2}+4x+2+\left(-3x+9\right)\left(3+x\right)+x^{2}+3x-10
Use the distributive property to multiply -3 by x-3.
2x^{2}+4x+2-3x^{2}+27+x^{2}+3x-10
Use the distributive property to multiply -3x+9 by 3+x and combine like terms.
-x^{2}+4x+2+27+x^{2}+3x-10
Combine 2x^{2} and -3x^{2} to get -x^{2}.
-x^{2}+4x+29+x^{2}+3x-10
Add 2 and 27 to get 29.
4x+29+3x-10
Combine -x^{2} and x^{2} to get 0.
7x+29-10
Combine 4x and 3x to get 7x.
7x+19
Subtract 10 from 29 to get 19.
2\left(x^{2}+2x+1\right)-3\left(x-3\right)\left(3+x\right)+\left(x+5\right)\left(x-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x^{2}+4x+2-3\left(x-3\right)\left(3+x\right)+\left(x+5\right)\left(x-2\right)
Use the distributive property to multiply 2 by x^{2}+2x+1.
2x^{2}+4x+2-3\left(x-3\right)\left(3+x\right)+x^{2}+3x-10
Use the distributive property to multiply x+5 by x-2 and combine like terms.
2x^{2}+4x+2+\left(-3x+9\right)\left(3+x\right)+x^{2}+3x-10
Use the distributive property to multiply -3 by x-3.
2x^{2}+4x+2-3x^{2}+27+x^{2}+3x-10
Use the distributive property to multiply -3x+9 by 3+x and combine like terms.
-x^{2}+4x+2+27+x^{2}+3x-10
Combine 2x^{2} and -3x^{2} to get -x^{2}.
-x^{2}+4x+29+x^{2}+3x-10
Add 2 and 27 to get 29.
4x+29+3x-10
Combine -x^{2} and x^{2} to get 0.
7x+29-10
Combine 4x and 3x to get 7x.
7x+19
Subtract 10 from 29 to get 19.
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}