Simplify √(49x^2 y^2-64x^2 y^2 )+∛(27x^3 y^3 )
You asked:
Simplify the expression: \(\sqrt{49 \cdot {x}^{2} \cdot {y}^{2} - 64 \cdot {x}^{2} \cdot {y}^{2}} + \sqrt[3]{27 \cdot {x}^{3} \cdot {y}^{3}}\)
MathBot Answer:
Simplified:
\[ \sqrt{49 \cdot {x}^{2} \cdot {y}^{2} - 64 \cdot {x}^{2} \cdot {y}^{2}} + \sqrt[3]{27 \cdot {x}^{3} \cdot {y}^{3}} = 3 \sqrt[3]{x^{3} y^{3}} + \sqrt{15} \sqrt{- x^{2} y^{2}} \]
Expanded:
\[ \sqrt{49 \cdot {x}^{2} \cdot {y}^{2} - 64 \cdot {x}^{2} \cdot {y}^{2}} + \sqrt[3]{27 \cdot {x}^{3} \cdot {y}^{3}} = 3 \sqrt[3]{x^{3} y^{3}} + \sqrt{15} \sqrt{- x^{2} y^{2}} \]