Each symbol given below represents an algebraic expression:

= 2x² + 3y, = 5x² + 3x, = 8y² – 3x² + 2x + 3y

The symbols are then represented in the expression:

Find the expression which is represented by the above symbols.

From the sum of x² – y² – 1, y² – x² – 1 and 1 – x² – y² subtract – (1 + y²).

Subtract the sum of 12ab –10b² –18a² and 9ab + 12b² + 14a² from the sum of ab + 2b² and 3b² – a².

Observe the following nutritional chart carefully:

Write an algebraic expression for the amount of carbohydrates in ‘g’ for

(a) y units of potatoes and 2 units of rajma (b) 2x units tomatoes and y units apples.

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.