Identify the factors of x^2+16y^2

Mathematics

1 answer:

Soloha48 [4]2 years ago

6 0

Answer:

Prime

Step-by-step explanation:

This expression is actually impossible to factor. To get rid of the middle term, you would need two equal and opposite x values, such as in (x+4y)(x-4y). However, in that case, the expanded expression would be x^2-16y^2, not plus. If you go for the first option, then you are left with a middle term, such as 8xy. Therefore, this expression is prime. Hope this helps!

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A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee

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Answer: A) 1260

Step-by-step explanation:

We know that the number of combinations of n things taking r at a time is given by :-

$^nC_r=\dfrac{n!}{(n-r)!r!}$

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Total open-ended problems=6

If an examine must answer 6 of the multiple-choice questions and 4 of the open-ended problems ,

No. of ways to answer 6 multiple-choice questions

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No. of ways to answer 4 open-ended problems

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Then by using the Fundamental principal of counting the number of ways can the questions and problems be chosen = No. of ways to answer 6 multiple-choice questions x No. of ways to answer 4 open-ended problems

= $84\times15=1260$