Questions: In the indicated operation by removing the parentheses and combining like terms. [ (-3 x^2+2 x-5)-(-7 x^2+1) ]

In the indicated operation by removing the parentheses and combining like terms. [ (-3 x^2+2 x-5)-(-7 x^2+1) ]
Transcript text: n the indicated operation by removing the parentheses and combining like terms. \[ \left(-3 x^{2}+2 x-5\right)-\left(-7 x^{2}+1\right) \]
failed

Solution

failed
failed

Solution Steps

Step 1: Remove the Parentheses

Start by removing the parentheses. Remember to distribute the negative sign to each term inside the second set of parentheses: \[ \left(-3x^{2} + 2x - 5\right) - \left(-7x^{2} + 1\right) = -3x^{2} + 2x - 5 + 7x^{2} - 1 \]

Step 2: Combine Like Terms

Combine the terms that have the same variable and exponent: \[ -3x^{2} + 7x^{2} + 2x - 5 - 1 \]

Step 3: Simplify the Expression

Perform the arithmetic operations on the like terms: \[ (-3x^{2} + 7x^{2}) + 2x + (-5 - 1) = 4x^{2} + 2x - 6 \]

Final Answer

\(\boxed{4x^{2} + 2x - 6}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A normal score is the expected z-score of a data value, assuming the distribution of the random variable is normal. Is this statement true or false? Choose the correct answer below. A. The statement is true. B. The statement is false. The normal score is the area under the normal curve to the left of a z-score. C. The statement is false. A normal score is the z-score of a data value before it is standardized. D. The statement is false. The normal score is another name for the z-score of a data value.
failedAnswered
State the domain of the following function. y=-8x-15
failedAnswered
In an experiment, college students were given either four quarters or a 1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Purchased Gum Kept the Money --------- Students Given Four Quarters 34 11 Students Given a 1 Bill 15 29 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The probability is 0.756 . (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.)
failedAnswered
The angle between 0° and 360° that is coterminal with the -113° angle is degrees.
failedAnswered
U1W2 Constitution Mastery Check Step 1: Read and consider the principals and goals found in the Constitution we have discussed and interpreted this week. "We the people of the United States, in order to form a more perfect Union, establish justice, insure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America. Step 2 Read a part of this press release (LINK 'Federal Jury Finds Three Men Guilty...) While reading, consider what happened to the citizen and the actions of the federal government. How does what you read relate to our government's goals and purpose? Which one of the of Preamble goals can we see being carried out in this press release? The Press release is an example of the govemment carrying out 'domestic tranquility' because the law enforcement officials were on the scene to rescue the citizen who was being kidnapped and threatened. The Press release is an example of the government carnying out the goal of 'common defense' because the citizens were just defending their streets. The govemment found them innocent. The Press release is an example of the government trying to 'establish justice' because the citizens were held accountable and will be punished for their hate crimes. The government is defending all peoples right to feel safe in public spaces regardless of race. 1 2 3 4 5 6 7