(n^2-n)+((n-1)^2-(n-1))+....+(1^2-1) =n(n+1)(2n+1)/6 - n(n+1)/2

Q: The expansion of (1 - x)® = A 1+4x - 7x² + . B 1- 4x + 7x2 - C 1+ 4x - 7x2 + Đ 1- 4x + 7x² – 23.

A: Please see the explanation below

Q: Evaluate 10s? – 5 - L-1 2 (s² + 1)(s² + 3)²

A:

Q: 7. (a) (3x + 2)(1– 4x) (b) (4 – 5x)(5 + 6x) 8. (a) (2r + 7) (2r + 7) - (2r + 7) (2x + 7) (b) (3 –…

A: solving equation by multiplication:-

Q: 3. Simplify (x+ 2)(x2+3x- 4).

A: (x+2)(x2+3x-4) = x(x2 + 3x - 4) + 2(x2 + 3x - 4) = x3 + 3x2 - 4x + 2x2 + 6x - 8 = x3 + 5x2  + 2x…

Q: 35 + 5 (S-5)(5+)

A:

Q: (3-5x)1/3 - (7+7x)1/3=0

A:

Q: 00 (2n +1)" n2n n=1

A:

Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

A:

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

A:

Q: 3(n+7) =  blank + 21

A: We have to solve

Q: Find the solution for 3/4 - (-6/12)

A:

Q: what is 1/2​(10x+20y+10z)

A:

Q: (1+5h-3h²)-(2h²+4h-7)

A: We will solve the following

Q: X=6{2+3[2(8-3)+(4+1)-2]}

A: Given,          x=62+328-3+4+1-2

Q: (d) an 10"+1 +3 x 4"-1+5 is divisible by 9 for all n2 1,

A:

Q: x/3+x/8+11/24

A: We have been given an algebraic expression and we need to simplify it.

Q: 2(n-3)+n(2-n)=2-n2

A:

Q: #5 Compute the equilibrium values for each of the given DDS algebraically and graphically. a) x =…

A:

Q: Thank you! This might be a stupid question... but how do you algebraically solve the part where you…

A:

Q: Let q(n) be the sum of the squares of the first n odd numbers. For example: q(0)  =  0 q(1)  =…

A: If n is any odd integer greater than 0 (i.,e., odd positive integer) then it's general form is 2n-1…

Q: ((n+3)/4)-((n-2)/5)=((n+1)/10)-1

A: The given equation is

Q: What is the coefficient of the 3rd term from the beginning in the expansion of the expression ( 2x-…

A: Given: a2x-y6

Q: Check that o(-2)" (":) = 1– 2(;) + 4(;) + ... + (-2)" (") + ... + (-2)" in ir=0 cannot be greater…

A: Given sum is  ∑r=0n-2rnr=1-2n1+4n2+...+-2rnr+..+-2nWe need to prove that the given sum cannot be…

Q: 1.9(4-x)=1.7(2-x)9(n+7)=3(21+3n)2(x-8)+2x=4(x+6)-402y+3(y-4)=8y-5(y-10)6x-2(x-8)=4(x+1)+7

A: Here I see total 5 equations which are to be simplified. IAccording to our policies I can answer…

Q: 1/3 + 1/7

A:

Q: N+9/9 +N-4/4=

A:

Q: 2(4-3=10a+3

A:

Q: 3(2n-3)=5(n +3)

A: To find the number (unknown n) satisfying the given equation

Q: what is the coefficient of the fourth term of (1/x - 5) ⁴

A: First we calculate fourth term then we find coefficient of fourth term.

Q: (x+9)/8 = 5/4 +(x-3)/2

A: To calculate the value of x from the provided equation which is shown below,