x2x4+81\frac{x^2}{x^4+81}x4+81x2
x2x4+16\frac{x^2}{x^4+16}x4+16x2
x+2−2x\frac{\sqrt{x+2}-\sqrt{2}}{x}xx+2−2
x(1+4x)2\frac{x}{\left(1+4x\right)^2}(1+4x)2x
(x3)÷(x2−1)\left(x^3\right)\div\left(x^2-1\right)(x3)÷(x2−1)
2x2−2y2x+y3\frac{2x^2-2y^2}{\sqrt[3]{x+y}}3x+y2x2−2y2
6x3y2÷2y6x^3y^2\div2y6x3y2÷2y
Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.
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