What is expand sqrt(2)((1+pi^2)^{3/2}-1) ?

The solution to expand sqrt(2)((1+pi^2)^{3/2}-1) is sqrt(2)(1+pi^2)^{3/2}-sqrt(2)

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expand sqrt(2)((1+pi^2)^{3/2}-1)

expand

2 ((1 + π^{2})^{\frac{3}{2}} - 1)

2 (1 + π^{2})^{\frac{3}{2}} - 2

Solution steps

2 ((1 + π^{2})^{\frac{3}{2}} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = 2, b = (1 + π^{2})^{\frac{3}{2}}, c = 1

= 2 (1 + π^{2})^{\frac{3}{2}} - 2 \cdot 1

= 2 (1 + π^{2})^{\frac{3}{2}} - 1 \cdot 2

Multiply:

1 \cdot 2 = 2

= 2 (1 + π^{2})^{\frac{3}{2}} - 2

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What is expand sqrt(2)((1+pi^2)^{3/2}-1) ?
The solution to expand sqrt(2)((1+pi^2)^{3/2}-1) is sqrt(2)(1+pi^2)^{3/2}-sqrt(2)