Step-by-step answer:
We are looking at the coefficient of the 22nd term of (x+y)^25.
Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on, 22nd term is x^21y^4.
The twenty-second term of (x+y)^25 is given by the binomial theorem as
( 25!/(21!4!) ) x^21*y^4
=25*24*23*22/4! x^21y^4
= 12650 x^21 y^4
The coefficient required is therefore 12650, for a binomial with unit valued coefficients.
For other binomials, substitute the values for x and y and expand accordingly.
Question would have been more clearly stated if the actual binomial was given, as commented above.
Answer:
first find the common factors of 18,26 and 72.
18: 1,2,3,6,9,18
26: 1,2,13,26
72: 1,2,3,4,6,8,12,18,24,36,72
next, find the common factors which can divide all numbers: 2
then find the highest factor which can divide all numbers. in this case, we only have one factor which is 2 and that shall be the H.C.F.
Answer:
55 full bags
Step-by-step explanation:
The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
<h3>
What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
Read more on discriminant;
brainly.com/question/2507588
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