Equivalent expressions

Select all of the expressions that are equivalent to:

A.)  (3x² - y)²
B.)  (3x²)² - (y)²
C.)  9(x²)² - (y)²
D.)  (9x²)² - (y)²
​E.)  (3x² + y)(3x² - y)

Just evaluate each answer choice to see if it is a match.

A.)  (3x² - y)²  →  (3x² - y)(3x² - y)  →  9x^4 - 6x²y + y²   {used foil method}

B.)  (3x²)² - (y)²  →  9x^4 - y²   {evaluated exponents}   

C.)  9(x²)² - (y)²  →  9x^4 - y²   {evaluated exponents}

D.)  (9x²)² - (y)²  →  81x^4 - y²   {evaluated exponents}

E.)  (3x² + y)(3x² - y)  →  9x^4 - y²   {used foil method}

B.) , C.) ,  and E.) 

- Algebra House
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