Which expressions are equivalent to 16x⁴ - 64? Check all that apply. 
16x⁴ + 16x - 16x - 64
16x⁴ - 8x - 8x - 64
(4x² + 8)(4x² - 8)
16(x² + 2)(x² - 2)
4(4x⁴ - 8) 

Solution:

Given 16x⁴ - 64

Option 1 is correct, as addition and subtraction of the same term leads to cancellation and gives 16x⁴ - 64

Option 2 is correct, as addition and subtraction of the same term leads to cancellation and gives 16x⁴ - 64

Option 3 is correct, (4x² + 8)(4x² - 8) = 16x⁴ - 32x² + 32x² - 64 = 16x⁴ - 64

Option 4 is correct, 16(x² + 2)(x² - 2) = 16{x⁴ - 2x² + 2x² - 4} = 16x⁴ - 64

Option 5 is wrong, 4(4x⁴ - 8) = 16x⁴ - 32

Which expressions are equivalent to 16x⁴ - 64? Check all that apply.

Summary:

Expressions are equivalent to 16x⁴ - 64 are 16x⁴ + 16x - 16x - 64 , 16x⁴ - 8x - 8x - 64 , (4x² + 8)(4x² - 8) ,16(x² + 2)(x² - 2)