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25x^{2}+100x-24
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25x^{2}+100x-24
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25x^{2}+20x+4+16\left(5x+2\right)-60
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+2\right)^{2}.
25x^{2}+20x+4+80x+32-60
Use the distributive property to multiply 16 by 5x+2.
25x^{2}+100x+4+32-60
Combine 20x and 80x to get 100x.
25x^{2}+100x+36-60
Add 4 and 32 to get 36.
25x^{2}+100x-24
Subtract 60 from 36 to get -24.
25x^{2}+20x+4+16\left(5x+2\right)-60
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+2\right)^{2}.
25x^{2}+20x+4+80x+32-60
Use the distributive property to multiply 16 by 5x+2.
25x^{2}+100x+4+32-60
Combine 20x and 80x to get 100x.
25x^{2}+100x+36-60
Add 4 and 32 to get 36.
25x^{2}+100x-24
Subtract 60 from 36 to get -24.
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