What should be added to x³ + 3x²y + 3xy² +y³ to get x³ +y³?

5

(a)

What should be subtracted from -7mn + 2m² +3n² to get m²+2mn + n²?     

5

(a)

How much is y⁴ -12y² +y+14greaterthan 17y³ + 34y² - 51y + 68?

5

(a)

To what expression must 99x³ - 33x² -13x - 41 be added to make the sum zero? 

5

(a)

Arjun bought a rectangular plot with length x and breadth y and then sold a triangular part of it, whose base is y and height is z. Find the area of the remaining part of the plot

5

(a)

Rohan's mother gave him Rs 3xy² and his father gave him Rs5(xy² + 2). Out of this total money, he spent Rs(10 - 3xy²) on his birthday party. How much money is left with him? Which value is depicted here?

5

(a)

A triangle is made up of 2 red sticks and 1 blue stick. The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given below:

5

(a)

If x = 2x+ 3  x = x -3, then find the value of - i)  ii) 

5

(a)

If x * y = x + y - {xy - (x² + y² -1)}, then what will 4 * 5 equals to?

5

(a)

Simplify and write the correct answer. - a - [a + {a + b - 2a - (a - 2b)} - b]

5

(a)

Identify the like terms in the following algebraic expressions
xyz + xy² Z + 2xy² Z + 3z² xy + y² XZ - 2X² yz + 3xzy²

5

(a)

A man has a property of value a²b + 3b² + 2a² - 4ab. He distributed 2b²+2ab - b²a to his son and 4a² + ab + b² a to his daughter. What amount is left with him?

5

(a)