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How would the expression (x^2 + 4)(y^2 + 9) be rewritten using Two Squares?

a. (xy+6y - (2x+3y)
b. (1-6)2 - (2x+3y)?
c. (xy-6)2 +(3x+2y)?
d. (xy+6) +(3x+2y)?

User Hendalst
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1 Answer

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Final answer:

The expression (x^2 + 4)(y^2 + 9) is misaligned with the concept of difference of two squares and none of the given options correctly reformulate it into a Two Squares expression. Expansion yields x^2y^2 + 9x^2 + 4y^2 + 36.

Step-by-step explanation:

The expression (x^2 + 4)(y^2 + 9) does not directly lend itself to a difference of two squares since both terms being added in each parenthesis are positive. However, if one is looking to rewrite this without fundamentally changing the expression into a format involving squares, none of the options a, b, c, or d provided is correct.

The correct reformatting would involve expanding the brackets, resulting in x^2y^2 + 9x^2 + 4y^2 + 36. This does not simplify to a concise format involving squares. As such, none of the provided options accurately represent the Two Squares reformation of the original expression.

User Mawaheb
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