1.345(( { 175 }^{ 2 } - { \left(25+x \right) }^{ 2 } )
Evaluate
\frac{269\left(150-x\right)\left(x+200\right)}{200}
Expand
-\frac{269x^{2}}{200}-\frac{269x}{4}+40350
Graph
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1.345\left(30625-\left(25+x\right)^{2}\right)
Calculate 175 to the power of 2 and get 30625.
1.345\left(30625-\left(625+50x+x^{2}\right)\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(25+x\right)^{2}.
1.345\left(30625-625-50x-x^{2}\right)
To find the opposite of 625+50x+x^{2}, find the opposite of each term.
1.345\left(30000-50x-x^{2}\right)
Subtract 625 from 30625 to get 30000.
40350-67.25x-1.345x^{2}
Use the distributive property to multiply 1.345 by 30000-50x-x^{2}.
1.345\left(30625-\left(25+x\right)^{2}\right)
Calculate 175 to the power of 2 and get 30625.
1.345\left(30625-\left(625+50x+x^{2}\right)\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(25+x\right)^{2}.
1.345\left(30625-625-50x-x^{2}\right)
To find the opposite of 625+50x+x^{2}, find the opposite of each term.
1.345\left(30000-50x-x^{2}\right)
Subtract 625 from 30625 to get 30000.
40350-67.25x-1.345x^{2}
Use the distributive property to multiply 1.345 by 30000-50x-x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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