Question
Which expression is equivalent to
![open parentheses 2 x squared minus 4 close parentheses minus open parentheses negative 3 x squared plus 2 x minus 7 close parentheses space ?](data:image/png;base64,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)
Hint:
Hint:
- An expression is a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations
The correct answer is: ![5 x squared minus 2 x plus 3](data:image/png;base64,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)
Explanation:
- We have given a expression
![open parentheses 2 x squared minus 4 close parentheses minus open parentheses negative 3 x squared plus 2 x minus 7 close parentheses](data:image/png;base64,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)
- We have to simplify the given expression and find the equivalent expression among the options.
- We will use basic mathematical operation like adding subtracting like terms and then simplfy it.
Step 1 of 1:
We have given equation![open parentheses 2 x squared minus 4 close parentheses minus open parentheses negative 3 x squared plus 2 x minus 7 close parentheses](data:image/png;base64,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)
Firstly, we will open the brackets,
Ie,
![2 x squared minus 4 plus 3 x squared minus 2 x plus 7](data:image/png;base64,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)
Now we will take like terms together,
Ie,
![2 x squared plus 3 x squared minus 2 x plus 7 minus 4](data:image/png;base64,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)
On further simplification, we will get
![5 x squared minus 2 x plus 3](data:image/png;base64,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)
So, Option (A) is correct.
Final answer:
Hence, The equvalent expression of
.
So, Option (A) is correct.
Related Questions to study
![](data:image/png;base64,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)
Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of x ?
![](data:image/png;base64,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)
Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of x ?
Solve each inequality and graph the solution :
x-8.4≤2.3
Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. So, we use complete line to graph the solution.
Solve each inequality and graph the solution :
x-8.4≤2.3
Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. So, we use complete line to graph the solution.
Jeremy deposited x dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1,2005 . What is the value of x ?
Jeremy deposited x dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1,2005 . What is the value of x ?
Solve each inequality and graph the solution :
0.25x>0.5
Note:
When we have an inequality with the symbols < or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.inequality.
Solve each inequality and graph the solution :
0.25x>0.5
Note:
When we have an inequality with the symbols < or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.inequality.
A bricklayer uses the formula
to estimate the number of bricks, n , needed to build a wall that is l feet long and h feet high. Which of the following correctly expresses l in terms of n and h ?
A bricklayer uses the formula
to estimate the number of bricks, n , needed to build a wall that is l feet long and h feet high. Which of the following correctly expresses l in terms of n and h ?
Solve each inequality and graph the solution :
-3x>15
Note:
When we have an inequality with the symbols< or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
Solve each inequality and graph the solution :
-3x>15
Note:
When we have an inequality with the symbols< or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee,15
are parents of students,45
are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?
A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee,15
are parents of students,45
are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?
If
and
what is the value of 2x - 3 ?
A) 21
B) 15
C) 12
D) 10
Note:
We can also solve this question graphically, The point of intersection of graphs of equationswill give us the value of x. And then by putting this value we can easily get the answer.
If
and
what is the value of 2x - 3 ?
A) 21
B) 15
C) 12
D) 10
Note:
We can also solve this question graphically, The point of intersection of graphs of equationswill give us the value of x. And then by putting this value we can easily get the answer.
Solve each inequality and graph the solution :
6x≥-0.3.
Note:
Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. So, we use complete line to graph the solution.
Solve each inequality and graph the solution :
6x≥-0.3.
Note:
Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. So, we use complete line to graph the solution.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
iii) NQ || __
![](data:image/png;base64,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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
iii) NQ || __
![](data:image/png;base64,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)
Solve each inequality and graph the solution :
-0.3x<6.
Note:
When we have an inequality with the symbols< or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
Solve each inequality and graph the solution :
-0.3x<6.
Note:
When we have an inequality with the symbols< or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
![](data:image/png;base64,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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
![](data:image/png;base64,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)
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.