Question

Which sum or difference is modeled by the algebra tiles? a. (-x2 2x 3) − (x2 − 2x − 1) = -2x2 2 b. (-x2 2x 3) − (-x2 2x 1) = -2x2 2 c. (-x2 2x 3) (-x2 2x 1) = -2x2 2 d. (-x2 2x 3) (-x2 − 2x − 1) = -2x2 2

Answer 1

The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

How to determine the sum or difference?

From the complete question, we have the following expressions:

(-x²+2x+3) and (-x²-2x-1)

Add both expressions

(-x²+2x+3) + (-x²-2x-1)

Expand

-x²+2x+3 -x²-2x-1

Collect the like terms

-x² -x² + 2x - 2x + 3 -1

Evaluate the like terms

-2x²+2

Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

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