42.7k views
5 votes
Which of the following is (-5x + 4) – (3x^2- 7x + 4) simplified and written in standard form?A. 3x^2 - 12x + 8B. 2x - 3x^2C. -3x^2 + 7x - 5xD. -3x^2 + 2x

1 Answer

2 votes

Answer: D

Step-by-step explanation:

The expression we have is:


(-5x+4)-(3x^2-7x+4)

First we use the distributive property to multiply the "-" by the second parenthesis, also we can ignore the parenthesis on the first term:


-5x+4-3x^2+7x-4

This is because "-" by 3x^2 is equal to -3x^2. And "-" by -7x is equal to +7x, and "-" by +4 is equal to -4.

Next, we combine like terms (terms that have the same variable are like terms, also independent terms without variable are like terms):


2x-3x^2

This is because -5x+7x =2x, and +4-4=0 so they are eliminated.

To present this in standard form we leave the term with the bigger exponent at the beginning of the expression:


-3x^2+2x

Which is option D.

User BugShotGG
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories