Question

can you help me with this i dont get it

Answer 1

$4x^3-14x^2y+14xy^2-4y^3$

Explanation

$2x^2-3xy+y^2\text{ multiplied by 2x-4y}$

Step 1

Apply distributive property

$\begin{gathered} (2x^2-3xy+y^2)\cdot(\text{ 2x-4y)}=(2x^2-3xy+y^2)(2x)+(2x^2-3xy+y^2)(-4y) \\ (2x^2-3xy+y^2)\cdot(\text{ 2x-4y)}=4x^3-6x^2y+2xy^2-8x^2y+12xy^2-4y^3 \end{gathered}$

Step 2

Add similar terms

$\begin{gathered} 4x^3-6x^2y+2xy^2-8x^2y+12xy^2-4y^3 \\ 4x^3-14x^2y+14xy^2-4y^3 \\ \end{gathered}$

then, the answer is

option D)