1-Find the divisos. of ZxZ+ZxZy IRX Zyx Zy. zeso

Q: Factor completely. Show all work. a. 3x²y²z³ - 6xy² z³ b. x² + 3x + 2xy + 6y c. 10x²y - 50x² + 9xy -…

A: Since you have asked multiple questions, we will solve the first 3 questions for you. we can answer…

Q: R the generated of z

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Q: 15. -6,-3, O, 3 find the sum of the frot 15 terms. Show work A15

A: It is given that,the series       -6,-3,0,3,......... We have to find the sum of the first 15 terms.…

Q: 3. Show that Z10 is isomorphic to Z2 × Z5, but that Zg is not isomorphic to Z₂ × Z4.

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Q: . Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

A: We have to show that 13 divides 9a+8b To prove this we using 4a+5b divisible by 13

Q: 1.2. Factorise the following completely: 5x(p – q) + 8y(q – p) – 3y(p – q) a. b. 5x2 - 12x +4 C. a²…

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Q: find the generated of zy zs+Z7

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Q: 13. Find the Cartesian product A x B of the sets A = {12, 9, 10} and B = {14,4}

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Q: why - ( f ²^(lu² (+)² + 9²³\u{(t) ] ²³ ) d+){ 0 is inner Product?

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Q: If β is a zero of x2 +x + 2 over Z5, find the other zero.

A: Given: The expression x2+x+2 over  Z5 has β as zero. To find: The other zero of the given…

Q: df Catx) is expandad

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Q: Find the value of x.

A: Given,          A triangle is shown below :

Q: Suppose the multiplication cx is defined to produce (cx1, 0) instead of (cx1, cx2 ). With the usual…

A: The multiplication cx where x∈ℝ2 is defined as cx=cx1, 0 because x=x1, x2 where x1 and x2 belong to…

Q: -find the rank of any inner product of tensors A and B?s 25

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Q: 2. Find the LU factorizations of and 20 0 -6 3 4 9 5 2 -13 -3 16 17 2 4 3 2 13 9 -65 4

A: First, we have 2052-63-13-3491617 Let the lower triangular matrix be 100L2,110L3,1L3,21 Consider…

Q: 1. Let a, b € Z so that 2a + 3b is a multiple of 11. Prove that 11 divides a - 46.

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Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: find z trans foyms of folleing -an simwn ĭ

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Q: 4. Find the elements of Zg that have multiplicative inverses.

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Q: (7) For any nonzero a, b € Z, the gcd(a, b) divides the lem(a, b). (8) If r, y € Z and 3 divides ry,…

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Q: 3. Show that Z10 is isomorphic to Z2 x Z5, but that Zg is not isomorphic to Z2 × Z4.

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Q: Prove that {4a + 126 : a, b E Z} = {4c: c € Z}.

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Q: 1. List a pair of zero divisors of (M₂(Z), +, ×):

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Q: 1. Arrange the terms of the dividend in descending powers х-3 ) 2х3 - Зx- х + 4 2. Use c as the…

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Q: If GCD of (a,b) is 1 we can find the lcm by multiplying a and b. True or false

A: if GCD(a,b) is 1, We can find lcm by multiplying a and b.   This statement is True.

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: H.w ) find the generated af: ty, 7s7z and Zg

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Q: 2. Find the LU factorizations of and 20 5 2 -6 3 -13 -3 4 9 16 17 2 4 -6 2 13 9 دن و ان 5 4

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Q: 1) Name the polynomial a) 3x? + 9x - 1 b) 2x* - 9x? - 1

A: a) 3x2+9x-1The above polynomial has a degree 2⇒It is quadratic polynomial

Q: 1. 2x²+x+1 2x-1 a) 4x d) x-1 b) 3x - 1 e) x + 1 c) 2x + 1

A: According to our guidelines we can solve only one question so please post other questions…

Q: what would Z and MOE be ?

A: Here we have to identify the Critical value Z and and Margin of error MOE

Q: Show work

A: Step 1: Group the terms with exponents together and then the terms with no exponent with the…

Q: Let a, b e Z so that 2a + 36 is a multiple of 11. Prove that 11 divides a - 4b.

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