Answer:
y = 5x²+30x+37
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1) squaring a binomial
[tex] \boxed{ (a+b) = a^2 + 2ab + b^2 }[/tex]
2) The distributive property
[tex] \boxed{ a(b+c) = ab+ac }[/tex]
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1) squaring a binomial
y = 5(x+3)² - 8
y = 5(x²+6x+9)-8
2) Distributive property
y = 5(x²+6x+9)-8
y = 5x²+30x+45-8
3) Finally
y = 5x²+30x+37