The standard form:
[tex]ax^2+bx+c[/tex]
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[tex]2(x-5)^2-8[/tex] use (a - b)² = a² - 2ab + b²
[tex]=2(x^2-2(x)(5)+5^2)-8[/tex]
[tex]=2(x^2-10x+25)-8[/tex] use distributiveproperty
[tex]=(2)(x^2)+(2)(-10x)+(2)(25)-8\\\\=2x^2-20x+50-8\\\\=\boxed{2x^2-20x+42}[/tex]
