Expand factored and vertex form into standard form

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Learn it Expand by multiplying every term in one bracket by every term in the other (FOIL), then collect like terms.

Example: Expand $(x + 3)(x - 5)$.

$x \cdot x = x^2$, $x \cdot (-5) = -5x$, $3 \cdot x = 3x$, $3 \cdot (-5) = -15$.
Collect: $x^2 - 2x - 15$.

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