Binomial Expansion and Pascal's Triangle

Select the correct expansion of

(1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• -1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

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CCSS.HSA.APR.C.5

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Tags

CCSS.HSA.APR.C.5

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1
• 1  1
• 1  2  1
• 1  3  3  1

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CCSS.HSA.APR.C.5

How many terms are the in the expansion of (1+b)⁵

• 5

• 6

• 25

• 50

• 3

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CCSS.HSA.APR.C.5

Find the 2nd term in the expansion of 
(2b + 1)³

• 12b²
• 6b
• 8b³
• 4b²

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CCSS.HSA.APR.C.5

Use Pascal's Triangle to expand the expression.

(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625

• 16x⁴ + 160x³ +600x² +1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x +625

Tags

CCSS.HSA.APR.C.5

Use Pascal's Triangle to find the 4th term in the expansion of (4x-3)⁵.

• 5760

• -4320x²

• 5760x³

• -4320

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CCSS.HSA.APR.C.5

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4
• -24
• -96
• 216

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CCSS.HSA.APR.C.5

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³
• 3240
• 262440x³
• 262440

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CCSS.HSA.APR.C.5