Given that I = {(a,b) E R | a and b are even numbers} is an ideal of a ring R = Z × Z, construct both the addition and multiplication tables for the factor (quotient) ring of R/I.

Q: S ds J V3s? + 1

A: To evaluate the given integral

Q: 2 +,

A:

Q: 7x+2y-3x+4y

A:

Q: x² ,2 xp V16-x2

A:

Q: 3 x+2y=-13 -5x+4y=18

A: given: 3x+2y=-13 -5x+4y=18

Q: 2x2 4x • 4

A: Given expression :

Q: V24x15y5 3

A:

Q: 1n+2

A: We need to find : ∫1n+1n dn

Q: 2(3y-6)/2=3y

A: 2(3y-6)/2=3y

Q: 2y3+ 12y3

A: Find value of  2y^3+ 12y^3

Q: 5v2 +6 dv 4 v3

A:

Q: (2-3x)²

A:

Q: 3a+4b=5a-t

A: See this solution in below.

Q: (4x)2

A: To evaluate(4x)2

Q: 4x + 2y=8 6x - 4y=5

A: Given4x+2y=8 and    --- Eq 16x-4y=5           --- Eq 2We solve for x and yFrom Eq 1:2y=8-4x…

Q: 9x+4y=13 3x+5y=9

A:

Q: 9x4 y4  x  x2  y2

A: Given:  9x4y4 × x2y2

Q: 4x+y+2y

A: We can use normal algebra to solve this problem.

Q: V3 + V75 = V3 + V25 -3 = v3 + V3 =

A: Given expression to simplify: 3+75

Q: 2x³ y³ by 5x²y⁵

A: Simplifying the given expression

Q: w+5 -dw w - 6w+10

A: A detailed solution is given below

Q: 2a+3a=c

A:

Q: 4 5x2 Evaluate dx. TV3x2-1

A:

Q: 3+2x2x

A:

Q: Y+5>1

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: a + 4e + 5d+ 3a

A: We will simplify the given expression.     8a+4e+5d+3a=11a+4e+5d

Q: 3x- 13x +4= 0

A:

Q: Give the General Solution of the following Differential Equation 1. (e-y)(1-²y)¹/2 dx = dy

A:

Q: X+3y=9

A: this is a two variable linear equation X + 3Y = 9

Q: y +y - 2y = 0

A: Here we have to solve , the given differential equation  y"+y'-2y=0 ...........(1)

Q: -3a + 12a

A: -3a+12a=9a

Q: 2(3y-2) 20

A: