4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another integer that can be represented by x2 + dy?.

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: З and an - - 3ап-1 + an-2 for integers n>2. Evaluate and d4: Let a, = 2, a2

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Q: Wathe. Is 1+1

A: The objective is to find the value for 1+1. Let's take the required value as x. To find the required…

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

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Q: Let A = [-2  6]              [2   8] Find 3A.  3A =

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Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

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Q: Let A = [0  2]              [5 -2] Find -4A.  -4A =

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Q: Find A. A = (2A)-1 [ -1 -2 2 2

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Q: Simplity. Assume all exponents are positive integers. 35n 45x² 2. 35n² 25x 1. 4. p²-3p-54 p-9 5.…

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Q: Find a counterexample to the statement that every positive integer can be written as the sum of the…

A: Claim: Every positive integer can be written as the sum of the squares of three integers. The given…

Q: a) 2x + 5 > 4x – 3

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Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: *(2 + 16) (a + 8)(x + 4) 16 where z # a + 8 Submit Question

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Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: j2 -j3 2 Determine 1+j)

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Q: Prove that if 8x-5=-2x-15 then -x=1

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Q: 2 x -dx 6. Jo 1-x

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Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: Compute the following. 35x4-32x3+15x²–10x+18dx -5

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Q: Is A = [ -5   5   1 ]            [ 0   1   -1 ]            [ 1   -1   0 ] the A-1 = ?

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Q: Whta is 1+1=

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Q: Multiply. (4x – 1)(3.r – 2) - O 11x – 12 O 12.x – 11 O 12.x2 + 11r – 2 O 12.x? – 11x +2 O 111? – 12x…

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Q: Compute x3 in two ways: by computing x, and x₂, and by computing P³ 0.1 0.2 -~8 0.9 0.8 -0₁ ₂2-0…

A: The given matrix is, P=0.10.20.90.8,x0=10. The value x3 was obtained from: Now, x1can be computed…

Q: 1.) Simplify the expression if b = 9 [38 – (b- 3)2] + 3b

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Q: Write the following expression in expanded form. Va + 1(x² – 2)? In (2x – 1) (x² + 2)-

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Q: Evaluate ITT Q6 1 1-x 4-x-y x dzdydx 00

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