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Expanding and simplifying the square of a trinomial

Authored by Andrew Sword

Mathematics

8th - 10th Grade

Used 9+ times

Expanding and simplifying the square of a trinomial
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

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