3 years ago

Which products result in a difference of squares? Check all that apply.

1 answer:

6 0

Answer:

Step-by-step explanation:

(w-2.5)(w+2.5)=w(w+2.5)-2.5(w+2.5)

=w²+2.5w-2.5w-2.5²

=w²-2.5²

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egoroff_w [7]

<h2>Explanation:</h2><h2></h2>

Here you haven't provided any function, so I'll assume this one:

$f(x)=3x^2-18x+33$

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

$V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33$

Therefore:

$x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6$

Therefore, the vertex is:

$\boxed{V(3,6)}$

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