Evaluate
8\left(5x+9y\right)^{2}+48y+60x
Expand
200x^{2}+720xy+60x+648y^{2}+48y
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8\left(25x^{2}+90xy+81y^{2}\right)+12\left(5x+4y\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+9y\right)^{2}.
200x^{2}+720xy+648y^{2}+12\left(5x+4y\right)
Use the distributive property to multiply 8 by 25x^{2}+90xy+81y^{2}.
200x^{2}+720xy+648y^{2}+60x+48y
Use the distributive property to multiply 12 by 5x+4y.
8\left(25x^{2}+90xy+81y^{2}\right)+12\left(5x+4y\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+9y\right)^{2}.
200x^{2}+720xy+648y^{2}+12\left(5x+4y\right)
Use the distributive property to multiply 8 by 25x^{2}+90xy+81y^{2}.
200x^{2}+720xy+648y^{2}+60x+48y
Use the distributive property to multiply 12 by 5x+4y.
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