Question : Simply the given expression: (5p + 3q)(5p – 3q)

Option 1: 25p² – 9q² + 30pq

Option 2: 25p² – 9q²

Option 3: 25p² + 9q²

Option 4: 25p² + 9q² – 30pq

Question : What is the expansion of ($x$ + 11)($x$ – 11)?

Option 1: $x$² + 11

Option 2: $x$² – 121

Option 3: $x$² + 121

Option 4: $x$² – 11

Question : What is the expansion of (a - 4)³?

Option 1: a³ – 12a² + 48a + 64

Option 2: a³ + 12a² + 48a + 64

Option 3: a³ –12a² + 48a – 64

Option 4: a³ +12a² + 48a – 64

Question : What is the value of (a + b)³ – a³ – b³?

Option 1: – 3ab(a – b)

Option 2: 3ab(a + b)

Option 3: – 3ab(a + b)

Option 4: 3ab(a – b)

Question : If a + b + c = 0, then the value of (a + b – c)² + ( b + c – a)² + ( c + a – b)² is:

Option 1: 0

Option 2: 8abc

Option 3: 4(a² + b² + c²)

Option 4: 4(ab + bc + ca)

Question : If a + b + c = 1, ab + bc + ca = –1, and abc = –1, then what is the value of a³ + b³ + c³?

Option 1: 1

Option 2: 5

Option 3: 3

Option 4: 2