Evaluate
\left(8x-11\right)\left(2x+3\right)
Expand
16x^{2}+2x-33
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25x^{2}-40x+16-\left(7-3x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-4\right)^{2}.
25x^{2}-40x+16-\left(49-42x+9x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7-3x\right)^{2}.
25x^{2}-40x+16-49+42x-9x^{2}
To find the opposite of 49-42x+9x^{2}, find the opposite of each term.
25x^{2}-40x-33+42x-9x^{2}
Subtract 49 from 16 to get -33.
25x^{2}+2x-33-9x^{2}
Combine -40x and 42x to get 2x.
16x^{2}+2x-33
Combine 25x^{2} and -9x^{2} to get 16x^{2}.
25x^{2}-40x+16-\left(7-3x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-4\right)^{2}.
25x^{2}-40x+16-\left(49-42x+9x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7-3x\right)^{2}.
25x^{2}-40x+16-49+42x-9x^{2}
To find the opposite of 49-42x+9x^{2}, find the opposite of each term.
25x^{2}-40x-33+42x-9x^{2}
Subtract 49 from 16 to get -33.
25x^{2}+2x-33-9x^{2}
Combine -40x and 42x to get 2x.
16x^{2}+2x-33
Combine 25x^{2} and -9x^{2} to get 16x^{2}.
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