What is expand-2x^{7/2}(x^2+1) ?

The solution to expand-2x^{7/2}(x^2+1) is -2x^{11/2}-2x^{7/2}

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expand-2x^{7/2}(x^2+1)

expand

- 2 x^{\frac{7}{2}} (x^{2} + 1)

- 2 x^{\frac{11}{2}} - 2 x^{\frac{7}{2}}

Solution steps

- 2 x^{\frac{7}{2}} (x^{2} + 1)

Apply the distributive law:

a (b + c) = ab + a c

- 2 x^{\frac{7}{2}} (x^{2} + 1) = - 2 x^{\frac{7}{2}} x^{2} - 2 x^{\frac{7}{2}} \cdot 1

= - 2 x^{\frac{7}{2}} x^{2} - 2 x^{\frac{7}{2}} \cdot 1

- 2 x^{\frac{7}{2}} x^{2} = - 2 x^{\frac{11}{2}}

2 x^{\frac{7}{2}} \cdot 1 = 2 x^{\frac{7}{2}}

= - 2 x^{\frac{11}{2}} - 2 x^{\frac{7}{2}}

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What is expand-2x^{7/2}(x^2+1) ?
The solution to expand-2x^{7/2}(x^2+1) is -2x^{11/2}-2x^{7/2}