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70x-21
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70x-21
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25x^{2}+20x+4-\left(5x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+2\right)^{2}.
25x^{2}+20x+4-\left(25x^{2}-50x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-5\right)^{2}.
25x^{2}+20x+4-25x^{2}+50x-25
To find the opposite of 25x^{2}-50x+25, find the opposite of each term.
20x+4+50x-25
Combine 25x^{2} and -25x^{2} to get 0.
70x+4-25
Combine 20x and 50x to get 70x.
70x-21
Subtract 25 from 4 to get -21.
25x^{2}+20x+4-\left(5x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+2\right)^{2}.
25x^{2}+20x+4-\left(25x^{2}-50x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-5\right)^{2}.
25x^{2}+20x+4-25x^{2}+50x-25
To find the opposite of 25x^{2}-50x+25, find the opposite of each term.
20x+4+50x-25
Combine 25x^{2} and -25x^{2} to get 0.
70x+4-25
Combine 20x and 50x to get 70x.
70x-21
Subtract 25 from 4 to get -21.
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