Binomial Theorem

Expand (x−7)²

• x² - 14x + 49

• -x² - 14x - 49

• x² + 14x - 49

• 49x²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.C.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Expand
(b - 2)³

• b³ - 2b² + 4b - 8
• 5b³ - 20b² + 40b - 40
• b³ - 6b² + 12b - 8
• 4b³ - 12b² + 16b - 8

Tags

CCSS.HSA.APR.C.5

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

Tags

CCSS.HSA.APR.C.5

Expand (d-5)⁵

• d⁵ - 25 d⁴ + 250 d³ - 1250 d² + 3125 d - 3125

• d⁵ + 25 d⁴ + 250 d³ + 1250 d² + 3125 d + 3125

• d⁴ - 20d³ + 150d² - 750d + 3125

• d⁴ + 20d³ + 150d² + 750d + 3125

Tags

CCSS.HSA.APR.C.5

What would be the 5th term of the expansion of (n+4)⁴?

• 257

• 256

• n⁴

• 259

Tags

CCSS.HSA.APR.C.5

What would be the 2nd term of the expansion of (y+4)⁴?

• 253y

• 256y

• 64y

• 96y²

Tags

CCSS.HSA.APR.C.5

What would be the 4th term of the expansion of (a+3)⁴?

• 108a

• 12a³

• 81

• 27a

Tags

CCSS.HSA.APR.C.5

What would be the 6th term of the expansion of (m-3)⁵?

• m⁵

• -243

• -244

• 405m

Tags

CCSS.HSA.APR.C.5

Find the Binomial expansion of

(3 + 2x)^5.

• (3+2x)^5 + (3 - 2x)^5

• (3+2x)^10 + (3 - 2x)^10

• (3-2x)^5 + (3 - 2x)^5

• (3+2x)^5 + (3 + 2x)^5

If p (n) is a proposition about a positive integer n such that p (n) is true for n = 1 and p (n) is true for n = k whenever P (n) is true for any positive integer n = K + 1 , p (n ) is true for every positive integer n , this principle is called principle of

• Mathematical induction

• Mathematical deduction

• Logic used

• None of these