The Binomial Theorem Test

Question 1 of 5: Evaluate each expression:

$${24 \choose 2}$$

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$$138$$

$$276$$

$$238$$

$$552$$

$$108$$

Question 2 of 5: Expand completely:

$$(y + 4x)^4$$

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y⁴ + 16y³x + 96y²x² + 256yx³ +256x⁴

y⁴ + 4y³x + 16y²x² + 64yx³ + 256x⁴

-y⁴ + 12y³x + 96y²x² + 256yx³ + 256x⁴

y⁴ + 12y³x + 96y²x² + 256yx³ + 256x⁴

-y⁴ - 12y³x + 144y²x² + 256yx³ + 256x⁴

Question 3 of 5: Expand completely:

$$(3y - x)^4$$

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486y⁴ - 405y³x + 180y²x² - 45yx³ + 6x⁴

81y⁴ - 27y³x + 9y^2x² - 3yx³ + x⁴

12y⁴ - 56y³x + 16y^2x² - 8yx³ + x⁴

81y⁴ - 108y³x + 36y²x² - 12yx³ + x⁴

81y⁴ - 108y³x + 54y²x² - 12yx³ + x⁴

Question 4 of 5: Find each term described:

$$(2x - 3y)^5$$ Find the 4^th term.

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$$-144x^2y^5$$

$$810xy^4$$

$$-108x^2y^3$$

$$-1080x^2y^3$$

$$720x^3y^2$$

Question 5 of 5: Find each term described:

$$(4x - y)^4$$ Find the 1^st term.

Finish »

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$$y^4$$

$$259x^4$$

$$256x^4$$

$$-256x^3y$$

$$526xy^3$$

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