Add: X2 - Y2 - 1 , Y2 - 1 - X2, 1- X2 - Y2

Add: x² - y² - 1 , y² - 1 - x², 1- x² - y²

(x² - y² - 1) + (y² - 1 - x²) + (1 - x² - y²)

= x² - y² - 1 + y² - 1 - x² + 1 - x² - y²

= x² - x² - x² − y² + y² - y² - 1 - 1 + 1

= x²(1 - 1 - 1) + y² (-1 + 1 - 1) + (- 1 - 1 + 1)

= -x² - y² - 1

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Add the following:

2p²q² − 3pq + 4, 5 + 7pq − 3p²q²

Subtract 4p²q − 3pq + 5pq² − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq² + 5p²q

Add: 3p²q² - 4pq + 5, - 10p²q², 15 + 9pq + 7p²q²

Subtract: 5a² - 7ab + 5b² from 3ab - 2a² -2b²

Add the following algebraic expression:

3a²b, − 4a²b, 9a²b

Subtract the sum of 2x − x² + 5 and − 4x − 3 + 7x² from 5.

Solve the following equation.

10 = 2y + 5

Add: 8x, 3x

Add:

2p⁴ – 3p³ + p² – 5p + 7, –3p⁴ – 7p³ – 3p² – p – 12

Add:

3a(2b + 5c), 3c(2a + 2b)