How did they got n(n+1)(2n+1) / 6

Q: Multiply: (a) (m + 2)(m – 2), (b) (3y + 4)(3y – 4), (c) (b -6 +), and (d) (tª – 6u)(tª + 6u). To…

A: To find the product of two binomials, we generally use the FOIL (First, Outer, Inner, Last) method.…

Q: (√−81 + 3)(√−25 − 1)

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Q: Are (D+(m*13/12))/2 and ((D+M)/2) +2.5 and [D+ (m+5)]/2 equivalent? If so, show how. If not explain…

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Q: (a) The sum of the squares of 6 and 7

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Q: Find the coefficient of a3b9 in the binomial expansion of  (36a - 1/6 b)^12

A: Answer

Q: Select two expressions equivalent to 15a² – 5a - 11 (Select all that apply.) (14a² − 9a +1)+(a² + 4a…

A: Given; 15a2-5a-11.

Q: I suppose my issue is understanding factorials. I have not been in school for a very long time.…

A: The value of C19,15 have to find

Q: I don't understand how (1+2+.....+k)^2=(k(k+1)/2))^2. Please explain. Thank you

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Q: What is the coefficient of p5q5 in the expansion of (p+q)10?

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Q: Jse the Binomia expression (3x + 2y²)°. Show your work. Theorem to expand the

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Q: Obtain the regular expressions for the following: (a) {a4n+3 : n ≥ 0} (b) {a, a4, a8, … }

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Q: What is the ab c³ term of the expansion of (a – b2 + 3c)??

A: According to binomial expansion, the (r+1)th term of the binomial (a+b)n is given by,

Q: Pls kindly help to prove: when n is even, then (n, (n/2)^2-1, (n/2)^2+1) will be a Pythagorean…

A: Given question is  prove: when n is even, then (n, (n/2)^2-1, (n/2)^2+1) will be a Pythagorean…