Show that a6-1 is divisible by 168 whenever (a, 42)=1.

Q: 3) Simplify the multiplication or division statement symbolically (without using tiles). [ a)…

A: Part a,             2x2-3x-2Part b,             5b2+4-3Part c,             9r-21r23Part d,…

Q: Simplify and state restrictions

A:

Q: Compute A - 613 and (613)A, where A = - A-613 = ☐ 6 - 4 3 2 -7 - 3 1 3

A:

Q: b) Rationalize the numerator of 1 1 √7(x+h) √Tx - h Simplify your answer to the form A = A " where

A:

Q: 5x+5 2x-20x+18 x²-8x-9 3.

A:

Q: Determine the coefficient of xaxzx if (x1 + x2 + x3 + x4)1ª is expandec

A: This is given by the multinomial coefficient formula. We state the theorem and then deduce the…

Q: What is the order of the element 4U5(105) in the factor groupU(105)/U5(105)?

A: Given: Factor Group, U105/U5105To find: Order of the element 4U5105.

Q: rivial of

A: To find the non trivial of Z8 as,

Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

A:

Q: 10 a.) Completely simplify E ()2* i=0 b.) Expand (1 – r)® and simplify. c.) Expand (r +r-1)5 and…

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Q: For 3 and 4 find a.) the GCF and b.) the LCM of each pair of expressions 3.) 108 and 198. 4.) 8x^5…

A: factor of 108=2x2x3x3x3 factor of 198=2x3x3x11 common factor are 2x3x3 therefore GCF is 18 LCM=…

Q: let A {a, b} and B = {4, 5, 6}. %3D

A: A=a,bB=4,5,6 To find : a A×Ab B×B

Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

A:

Q: Add the polynomials (10z - 82 7æ³ - 10) + (- 4x + 12a + 7a + 9) | Submit Question

A: Add the polynomials. Solution is given below-

Q: Expand (* + 2)x-2)- (x-2) O a x - 4 O b x -x- 6 x - 2x - 4x+ 8 x -x- 2 x - x O c e

A: The given function is x+2x-2-x-2.

Q: Evaluate 1118x B 8xyzdV, B=[2, 3]x[1,2]x[0, 1].

A:

Q: so-Z of what is 21

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Q: Differentiate 2xー4x -

A:

Q: d) √23-√37 √23+√37

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Q: what is the coefficient of 13xy2

A: In a polynomial axnym a is the coefficient of xnym

Q: Show that dx =に 3+ Vx x3/2 – 3x + 18VX- 54 In (3 + V) +C

A:

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: Еxercise 13 Determine how тany times 0 арpears in thе тultiplicatioп table for Z16-

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Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

A:

Q: x

A: We see that the r-th term of (x+y)27 is given by Cr27xry(27-r)  i.e. the sum of exponent of x and y…

Q: True or false: If a is any integer, then (5a + 2,7a + 3) =1. Justify your answer.

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Q: Consider the expression: x² - 7x - 30 = 30 and A) Find two number, p and q such that p. q p+q= - 7.…

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Q: Simplify the radeal expression 6.

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Q: I simplified 6. 3 - x + 5 7 1 + x - 4 3 – 6(x – 4) by multiplying by 1 and obtained - 1 + 7(x + 5)

A: We have, 3-6x+51+7x-4

Q: 2r2 + 2r + 11 dr 2r +3)(x² + 4)'

A:

Q: Find the product. Assume variables represent positive real numbers. 2) 2x2/5(x11/5-3x) A)2x13/5 -…

A:

Q: 22) Create an expression that can be used to find Zg in terms of Zd.

A: There are so many ways to create expression for angle g but final expression will be same for all…

Q: Is it true that GCD(6,14,119) x LCM(6,143,119)= 6x143x119?

A: We know that GCD(a,b,c) × LCM(a,b,c) = axbxc