Evaluate
-10x\left(2x+3\right)
Expand
-20x^{2}-30x
Graph
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16x^{2}+10x-40x-25-\left(6x+5\right)\left(6x-5\right)
Apply the distributive property by multiplying each term of 2x-5 by each term of 8x+5.
16x^{2}-30x-25-\left(6x+5\right)\left(6x-5\right)
Combine 10x and -40x to get -30x.
16x^{2}-30x-25-\left(\left(6x\right)^{2}-5^{2}\right)
Consider \left(6x+5\right)\left(6x-5\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
16x^{2}-30x-25-\left(6^{2}x^{2}-5^{2}\right)
Expand \left(6x\right)^{2}.
16x^{2}-30x-25-\left(36x^{2}-5^{2}\right)
Calculate 6 to the power of 2 and get 36.
16x^{2}-30x-25-\left(36x^{2}-25\right)
Calculate 5 to the power of 2 and get 25.
16x^{2}-30x-25-36x^{2}-\left(-25\right)
To find the opposite of 36x^{2}-25, find the opposite of each term.
16x^{2}-30x-25-36x^{2}+25
The opposite of -25 is 25.
-20x^{2}-30x-25+25
Combine 16x^{2} and -36x^{2} to get -20x^{2}.
-20x^{2}-30x
Add -25 and 25 to get 0.
16x^{2}+10x-40x-25-\left(6x+5\right)\left(6x-5\right)
Apply the distributive property by multiplying each term of 2x-5 by each term of 8x+5.
16x^{2}-30x-25-\left(6x+5\right)\left(6x-5\right)
Combine 10x and -40x to get -30x.
16x^{2}-30x-25-\left(\left(6x\right)^{2}-5^{2}\right)
Consider \left(6x+5\right)\left(6x-5\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
16x^{2}-30x-25-\left(6^{2}x^{2}-5^{2}\right)
Expand \left(6x\right)^{2}.
16x^{2}-30x-25-\left(36x^{2}-5^{2}\right)
Calculate 6 to the power of 2 and get 36.
16x^{2}-30x-25-\left(36x^{2}-25\right)
Calculate 5 to the power of 2 and get 25.
16x^{2}-30x-25-36x^{2}-\left(-25\right)
To find the opposite of 36x^{2}-25, find the opposite of each term.
16x^{2}-30x-25-36x^{2}+25
The opposite of -25 is 25.
-20x^{2}-30x-25+25
Combine 16x^{2} and -36x^{2} to get -20x^{2}.
-20x^{2}-30x
Add -25 and 25 to get 0.
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}