Evaluate
15x\left(x+2\right)
Expand
15x^{2}+30x
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16x^{2}+24x+9-\left(x-3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+3\right)^{2}.
16x^{2}+24x+9-\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
16x^{2}+24x+9-x^{2}+6x-9
To find the opposite of x^{2}-6x+9, find the opposite of each term.
15x^{2}+24x+9+6x-9
Combine 16x^{2} and -x^{2} to get 15x^{2}.
15x^{2}+30x+9-9
Combine 24x and 6x to get 30x.
15x^{2}+30x
Subtract 9 from 9 to get 0.
16x^{2}+24x+9-\left(x-3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+3\right)^{2}.
16x^{2}+24x+9-\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
16x^{2}+24x+9-x^{2}+6x-9
To find the opposite of x^{2}-6x+9, find the opposite of each term.
15x^{2}+24x+9+6x-9
Combine 16x^{2} and -x^{2} to get 15x^{2}.
15x^{2}+30x+9-9
Combine 24x and 6x to get 30x.
15x^{2}+30x
Subtract 9 from 9 to get 0.
Examples
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y = 3x + 4
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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}