Evaluate
10x^{2}+24x-15
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10x^{2}+24x-15
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x^{2}-6x-40+\left(3x+5\right)^{2}
Use the distributive property to multiply x+4 by x-10 and combine like terms.
x^{2}-6x-40+9x^{2}+30x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+5\right)^{2}.
10x^{2}-6x-40+30x+25
Combine x^{2} and 9x^{2} to get 10x^{2}.
10x^{2}+24x-40+25
Combine -6x and 30x to get 24x.
10x^{2}+24x-15
Add -40 and 25 to get -15.
x^{2}-6x-40+\left(3x+5\right)^{2}
Use the distributive property to multiply x+4 by x-10 and combine like terms.
x^{2}-6x-40+9x^{2}+30x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+5\right)^{2}.
10x^{2}-6x-40+30x+25
Combine x^{2} and 9x^{2} to get 10x^{2}.
10x^{2}+24x-40+25
Combine -6x and 30x to get 24x.
10x^{2}+24x-15
Add -40 and 25 to get -15.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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