Multiply and Simplify completely: \( (-x y-2)(-x y+10)= \) Enter your answer Submit answer \( \quad \) Attempts: \( 0 / 5 \)
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Bonus Knowledge
To multiply and simplify the expression \( (-xy - 2)(-xy + 10) \), you can use the distributive property (also known as the FOIL method for binomials): \[ = (-xy)(-xy) + (-xy)(10) + (-2)(-xy) + (-2)(10) \] Calculating each part: 1. \( (-xy)(-xy) = x^2y^2 \) 2. \( (-xy)(10) = -10xy \) 3. \( (-2)(-xy) = 2xy \) 4. \( (-2)(10) = -20 \) Now combine these terms: \[ x^2y^2 - 10xy + 2xy - 20 = x^2y^2 - 8xy - 20 \] So, the final simplified expression is: \[ x^2y^2 - 8xy - 20 \]
