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50x^{2}+90x+36
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50x^{2}+90x+36
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2\left(25x^{2}+30x+9\right)+6\left(5x+3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+3\right)^{2}.
50x^{2}+60x+18+6\left(5x+3\right)
Use the distributive property to multiply 2 by 25x^{2}+30x+9.
50x^{2}+60x+18+30x+18
Use the distributive property to multiply 6 by 5x+3.
50x^{2}+90x+18+18
Combine 60x and 30x to get 90x.
50x^{2}+90x+36
Add 18 and 18 to get 36.
2\left(25x^{2}+30x+9\right)+6\left(5x+3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+3\right)^{2}.
50x^{2}+60x+18+6\left(5x+3\right)
Use the distributive property to multiply 2 by 25x^{2}+30x+9.
50x^{2}+60x+18+30x+18
Use the distributive property to multiply 6 by 5x+3.
50x^{2}+90x+18+18
Combine 60x and 30x to get 90x.
50x^{2}+90x+36
Add 18 and 18 to get 36.
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