Expanding and simplifying the square of a trinomial

Expand and simplify (x + 3y + 5z)²

• x² + 9y² + 25z²

• x² + 6y² + 25z² + 9xy + 30yz +10 xz

• x² + 3y² + 5z²

• x² + 9y² + 25z² + 6xy + 30yz +10 xz

Expand and simplify (-2x + y + 4z)²

• 4x² + y² + 16z² – 4xy + 8yz – 16zx

• -4x² + y² + 16z² – 4xy + 8yz – 16zx

• 4x² + y² + 16z² + 4xy + 8yz +16zx

• -4x² + y² + 16z²

Expand and simplify (-x – 3y + 5z)²

• -x² - 9y² + 25z² + 6xy – 30yz – 10zx

• x² + 9y² + 25z² + 6xy – 30yz – 10zx

• x² + 9y² + 25zx + 6xy – 30yz – 10z²

• x² + 9y² + 25z²

Expand and simplify (2a + 3b – 4c)²

• 4a² + 9b² + 16c² + 12ab – 24bc – 16ca

• 16a² + 81b² + 64c² + 12ab – 24bc – 16ca

• 4a² + 9b² + 16c²

• 4a² + 9b² + 16c² + 6ab – 12bc – 8ca

Expand and simplify (4a – 7b – 2c)²

• 16a² + 49b² + 4c² – 56ab + 28bc – 16ca

• 16a² + 49b² + 4c²

• 4a² + 7b² + 2c² – 56ab + 28bc – 16ca

• 16a² + 49b² + 4c² – 28ab + 14bc – 8ca

Expand and simplify (7a – 9b + 3c)²

• 7a² + 9b² + 3c²

• 7a² + 9b² + 3c² – 63ab – 27bc + 21ac

• 49a² + 81b² + 9c² – 126ab – 54bc + 42ac

• 49a² + 81b² + 9c² – 63ab – 27bc + 21ac

Expand and simplify (5k + 3m – 4n)²

• 5k²+ 3m² + 4n² + 15km – 12mn – 20nk

• 5k²+ 3m² + 4n² + 30km – 24mn – 40nk

• 25k²+ 9m² + 16n²

• 25k²+ 9m² + 16n² + 30km – 24mn – 40nk

Expand and simplify (p + 4q + 5)²

• p² + 16q² + 25 + 8pq + 40q + 10p

• p² + 4q² + 25 + 4pq + 20q + 5p

• 7p + 24q + 4pq + 25

• None of the above

Expand and simplify (3g – 2m + n)² + (3g – 2m – 2)²

• 18g² + 8m² + 2n² – 24gm

• 9g² + 4m² – 2n

• 6g² + n² – 4

• 9g² + 4m² + n² – 4

If a + b + c = 10 and ab + bc + ca = 24, find the value of a² + b² + c².

• 14

• 76

• 48

• 52