# Which expressions are equivalent to 16x^{4} - 64? Check all that apply.

16x^{4} + 16x - 16x - 64

16x^{4} - 8x - 8x - 64

(4x^{2} + 8)(4x^{2} - 8)

16(x^{2} + 2)(x^{2} - 2)

4(4x^{4} - 8)

**Solution:**

Given 16x^{4 }- 64

Option 1 is correct, as addition and subtraction of the same term leads to cancellation and gives 16x^{4} - 64

Option 2 is correct, as addition and subtraction of the same term leads to cancellation and gives 16x^{4} - 64

Option 3 is correct, (4x^{2} + 8)(4x^{2} - 8) = 16x^{4} - 32x^{2} + 32x^{2} - 64 = 16x^{4} - 64

Option 4 is correct, 16(x^{2} + 2)(x^{2} - 2) = 16{x^{4} - 2x^{2} + 2x^{2} - 4} = 16x^{4} - 64

Option 5 is wrong, 4(4x^{4} - 8) = 16x^{4} - 32

## Which expressions are equivalent to 16x^{4} - 64? Check all that apply.

**Summary:**

Expressions are equivalent to 16x^{4} - 64 are 16x^{4} + 16x - 16x - 64 , 16x^{4} - 8x - 8x - 64 , (4x^{2} + 8)(4x^{2} - 8) ,16(x^{2} + 2)(x^{2} - 2)

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