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

Sumx2 – y2 – 1 + y2 – x2 – 1 + 1 – x2 – y2= -x2 – y2 – 1Subtract-x2 – y2 – 1 + 1 + y2= x2

Q70 of 100 Page 312

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

Sum

x² – y² – 1 + y² – x² – 1 + 1 – x² – y²

= -x² – y² – 1

Subtract

-x² – y² – 1 + 1 + y²

= x²

If A = 3x² – 4x + 1, B = 5x² + 3x – 8 and C = 4x² – 7x + 3, then find:

(i) (A + B) – C

(ii) B + C – A

(iii) A + B + C

If P = –(x – 2), Q = –2(y +1) and R = –x + 2y, find a, when P + Q + R = ax.

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

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.