Which expression is equivalent to (4b-3k) ^3 in expanded form?

a. 64b^3-48b^2k+36bk^2-27k^3

b. 64b^3-48bk^2+36b^2k-27k^3

c. 64b^3-144b^2k+108bk^2-27k^3

d. 64b^3-144bk^2+108b^2k-27k^3

Question

Mathematics

Catalina Foster

30 December, 09:11

Which expression is equivalent to (4b-3k) ^3 in expanded form?

a. 64b^3-48b^2k+36bk^2-27k^3

b. 64b^3-48bk^2+36b^2k-27k^3

c. 64b^3-144b^2k+108bk^2-27k^3

d. 64b^3-144bk^2+108b^2k-27k^3

+5

Answers (1)

Know the Answer?

Waylon Huynh · Answer 1

The answer to your question is 64b³ - 48b²k + 36bk² - 27k³

Step-by-step explanation:

(4b - 3k) ³

To solve this problem, use Newton's binomial theorem

For a binomial to the third power = 1 3 3 1

(4b) ³ + (4b) ² (-3k) + (4b) (-3k) ² + (-3k) ³

Simplification

64b³ + (16b²) (-3k) + (4b) (9k²) - 27k³

Result

64b³ - 48b²k + 36bk² - 27k³

Which expression is equivalent to (4b-3k) ^3 in expanded form?a. 64b^3-48b^2k+36bk^2-27k^3b. 64b^3-48bk^2+36b^2k-27k^3c. 64b^3-144b^2k+108bk^2-27k^3d. 64b^3-144bk^2+108b^2k-27k^3

Which expression is equivalent to (4b-3k) ^3 in expanded form?

a. 64b^3-48b^2k+36bk^2-27k^3

b. 64b^3-48bk^2+36b^2k-27k^3

c. 64b^3-144b^2k+108bk^2-27k^3

d. 64b^3-144bk^2+108b^2k-27k^3