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

Solve the following equation:

(2x−y)(4−3x)= (2x-y)(4-3x)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Open parentheses properly, multiply each factor by each factor
00:27 Calculate the multiplications
00:57 Positive times negative always equals negative
01:04 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

(2x−y)(4−3x)= (2x-y)(4-3x)=

2

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:

(2x−y)(4−3x)=8x−6x2−4y+3xy (2x-y)(4-3x)= \\ \boxed{8x-6x^2-4y+3xy} Therefore, the correct answer is answer C.

3

Final Answer

8x−6x2−4y+3xy 8x-6x^2-4y+3xy

Practice Quiz

Test your knowledge with interactive questions

It is possible to use the distributive property to simplify the expression below?

What is its simplified form?

\( (ab)(c d) \)

\( \)

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