Question

Please help me in question number 7, for 40 points.

Answer 1

Answer:

a² - b² = (a + b) ( a - b)

1 -(a+b)² = 1² - (a+b)2

= {1 -(a+b)} x {1 +(a+b)}

= (1-a-b) x {1 + (a+b)}

Hence, correct answer is 1.) 1-a-b

Answer 2

Given :

1 - (a + b)²

=> -((a + b)² - 1)

∴ a² - b² = (a + b)(a - b)

=> -[(a + b)² - 1²]

=> -((a + b) + 1)((a + b) - 1)

=> -(a + b + 1)(a + b - 1)

Therefore, the answer is:

[1 + (a + b) * (1 - a - b)]   ---- Option(1)

Hope it helps!