Evaluate
\left(3x-7\right)\left(7x-16\right)
Expand
21x^{2}-97x+112
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2\left(9x^{2}-42x+49\right)+\left(x-2\right)\left(3x-7\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-7\right)^{2}.
18x^{2}-84x+98+\left(x-2\right)\left(3x-7\right)
Use the distributive property to multiply 2 by 9x^{2}-42x+49.
18x^{2}-84x+98+3x^{2}-13x+14
Use the distributive property to multiply x-2 by 3x-7 and combine like terms.
21x^{2}-84x+98-13x+14
Combine 18x^{2} and 3x^{2} to get 21x^{2}.
21x^{2}-97x+98+14
Combine -84x and -13x to get -97x.
21x^{2}-97x+112
Add 98 and 14 to get 112.
2\left(9x^{2}-42x+49\right)+\left(x-2\right)\left(3x-7\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-7\right)^{2}.
18x^{2}-84x+98+\left(x-2\right)\left(3x-7\right)
Use the distributive property to multiply 2 by 9x^{2}-42x+49.
18x^{2}-84x+98+3x^{2}-13x+14
Use the distributive property to multiply x-2 by 3x-7 and combine like terms.
21x^{2}-84x+98-13x+14
Combine 18x^{2} and 3x^{2} to get 21x^{2}.
21x^{2}-97x+98+14
Combine -84x and -13x to get -97x.
21x^{2}-97x+112
Add 98 and 14 to get 112.
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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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