Question
Which of the following expressions is equivalent to the expression above?
Hint:
Hint:
We are given a polynomial expression and we need to check which of the options is equal to the given expression. We use distributive law of addition over multiplication to simplify the expression and then check if it equal to one of the option given. First we take common factor wherever possible to simplify the given expression.
The correct answer is:
The given expression is
In the last two terms, we take common to get
So, now we have two terms and both have a common factor 2x
Again, we take 2x common from the two terms above to get
Simplifying, we get,
Thus,
Thus the correct answer is C)
Note:
Another way of solving this problem is to expand all the terms in the expression
Then we get,
Thus, we will get that
Can be written as
This also gives the same answer as above. No matter which method we use to simplify the expression, we will always get a unique answer.
Related Questions to study
△ DEF ≅ △ LMN
m∠D = m∠L = 70°
m∠F = m∠N = 30°
Which of the following statements is NOT true?
△ DEF ≅ △ LMN
m∠D = m∠L = 70°
m∠F = m∠N = 30°
Which of the following statements is NOT true?
The parallel sides of a trapezium are 30cm and 10cm and the other two sides are 13cm, 21cm .find its area?
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One hundred park-district members will be selected to participate in a survey about selecting a new park-district coordinator. Which of the following methods of choosing the 100 members would result in a random sample of members of the park district?
Note:
The method given is option A is called simple random sampling. Some other methods of random sampling are stratified random sampling, cluster random sampling and systematic random sampling.
Infact, there is further categorisation of simple random sampling- probability and non-probability sampling.
One hundred park-district members will be selected to participate in a survey about selecting a new park-district coordinator. Which of the following methods of choosing the 100 members would result in a random sample of members of the park district?
Note:
The method given is option A is called simple random sampling. Some other methods of random sampling are stratified random sampling, cluster random sampling and systematic random sampling.
Infact, there is further categorisation of simple random sampling- probability and non-probability sampling.
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Find the image of the letter I after 180° rotation.
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Two polygons are considered to be congruent if the sides and angles match. When two sides or angles have the same length are considered to be congruent. We demonstrate that the angles are congruent by inserting the same slash marks through each one.
The symbol for congruence is ≅ and can be written as △ABC ≅ △DEF. ∠A is equivalent to ∠D, ∠B to ∠E, and ∠C to ∠F. Side AB corresponds to DE, BC to EF, and AC to DF.
Two triangles are formed with three sides that are congruent. Triangles are congruent if all three pairs of corresponding sides are congruent.
Identify all pairs of congruent corresponding parts. Then write another congruence statement for the
figures
Two polygons are considered to be congruent if the sides and angles match. When two sides or angles have the same length are considered to be congruent. We demonstrate that the angles are congruent by inserting the same slash marks through each one.
The symbol for congruence is ≅ and can be written as △ABC ≅ △DEF. ∠A is equivalent to ∠D, ∠B to ∠E, and ∠C to ∠F. Side AB corresponds to DE, BC to EF, and AC to DF.
Two triangles are formed with three sides that are congruent. Triangles are congruent if all three pairs of corresponding sides are congruent.
What is the angle of rotation followed by the given shape pattern?
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A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?
Note:
It may confuse some students but the fact that the medication needs to be taken for 5 days is not necessary to solve this question.
A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?
Note:
It may confuse some students but the fact that the medication needs to be taken for 5 days is not necessary to solve this question.
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the line of reflection.
Identify and draw. We can also have line of reflection along the horizontal line.
the line of reflection.
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Draw the line of reflection for the following word.
Find the image of △ 𝐷𝑀𝑆 after 180° rotation about O.
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Which of the following is true based on these data?
Note:
There could be several more questions like this which also ask the mean or median of the given data or the average number of riders on the weekend, e t c.
The number of people who rode a certain bus eachday of a week is shown in the table below.
Which of the following is true based on these data?
Note:
There could be several more questions like this which also ask the mean or median of the given data or the average number of riders on the weekend, e t c.
