Solve (2x-y)(4-3x): Expanding Binomial Products Step-by-Step

Question

Solve the following equation:

(2xy)(43x)= (2x-y)(4-3x)=

Video Solution

Step-by-Step Solution

We will use the expanded distributive law seen below in order to simplify the given expression:

(a+b)(c+d)=ac+ad+bc+bd (a+b)(c+d)=ac+ad+bc+bd

We will begin by performing the multiplication between the pairs of parentheses, using the mentioned distributive law. We will combine like terms if possible whilst taking into account the correct multiplication of signs:

(2xy)(43x)=8x6x24y+3xy (2x-y)(4-3x)= \\ \boxed{8x-6x^2-4y+3xy} Therefore, the correct answer is answer C.

Answer

8x6x24y+3xy 8x-6x^2-4y+3xy