Question

Write the following in standard form 2(x-5)^2-8 !!!

Answer 1

The standard form:

$ax^2+bx+c$

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$2(x-5)^2-8$     use (a - b)² = a² - 2ab + b²

$=2(x^2-2(x)(5)+5^2)-8$

$=2(x^2-10x+25)-8$        use distributiveproperty

$=(2)(x^2)+(2)(-10x)+(2)(25)-8\\\\=2x^2-20x+50-8\\\\=\boxed{2x^2-20x+42}$