Trystan Horne

2022-02-01

What is the standard form of $y=\left(3{x}^{2}-7\right)\left(2x-2\right)$?

iluvyou23452nwj

Expert

Explanation:
$y=\left(3{x}^{2}-7\right)\left(2x-2\right)$
$⇒y=6{x}^{3}-6x-14x+14$
$⇒y=6{x}^{3}-20x+14$
$⇒y-6{x}^{3}+20x=14$
$⇒y-2x\left(3{x}^{2}-10\right)=14$

Veschettijib

Expert

Explanation:
expand the factors using the FOIL method
$⇒\left(3{x}^{2}-7\right)\left(2x-2\right)$
$=6{x}^{3}-6{x}^{2}-14x+14←$ in standard form
to express a polynomial in standard form
variable followed by decreasing exponents of the variable
in descending order
$y=6{x}^{3}-6{x}^{2}-14x+14$