X^4 - 1 =
a. (x+1)(x-1)(x^2+1)
b. ( x+1)^2(x-1)^2
c. (x+1)^3(x-1)^1
d. (x-1)^4

A

Step-by-step explanation:

Given

- 1 ← a difference of squares which factors in general as

a² - b² = (a - b)(a + b)

here = (x²)² ⇒ a = x² and b = 1

- 1 = (x² - 1)(x² + 1)

x² - 1 ← is a difference of squares and factors as

x² - 1 = (x - 1)(x + 1), so

(x² - 1)(x² + 1) = (x - 1)(x + 1)(x² + 1), hence

- 1 = (x - 1)(x + 1)(x² + 1) → A

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event