Evaluate
\left(3x-2\right)\left(2x+5\right)
Expand
6x^{2}+11x-10
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9x^{2}-12x+4+\left(2-3x\right)\left(x-7\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
9x^{2}-12x+4+23x-14-3x^{2}
Use the distributive property to multiply 2-3x by x-7 and combine like terms.
9x^{2}+11x+4-14-3x^{2}
Combine -12x and 23x to get 11x.
9x^{2}+11x-10-3x^{2}
Subtract 14 from 4 to get -10.
6x^{2}+11x-10
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
9x^{2}-12x+4+\left(2-3x\right)\left(x-7\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
9x^{2}-12x+4+23x-14-3x^{2}
Use the distributive property to multiply 2-3x by x-7 and combine like terms.
9x^{2}+11x+4-14-3x^{2}
Combine -12x and 23x to get 11x.
9x^{2}+11x-10-3x^{2}
Subtract 14 from 4 to get -10.
6x^{2}+11x-10
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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