What is 5((v^2+256)^{1/2}-16) ?

The solution to 5((v^2+256)^{1/2}-16) is 5(v^2+256)^{1/2}-80

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simplify 5((v^2+256)^{1/2}-16)

simplify

5 ((v^{2} + 256)^{\frac{1}{2}} - 16)

5 (v^{2} + 256)^{\frac{1}{2}} - 80

Solution steps

5 ((v^{2} + 256)^{\frac{1}{2}} - 16)

Apply the distributive law:

a (b - c) = ab - a c

5 ((v^{2} + 256)^{\frac{1}{2}} - 16) = 5 (v^{2} + 256)^{\frac{1}{2}} - 5 \cdot 16

= 5 (v^{2} + 256)^{\frac{1}{2}} - 5 \cdot 16

Multiply the numbers:

5 \cdot 16 = 80

= 5 (v^{2} + 256)^{\frac{1}{2}} - 80

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What is 5((v^2+256)^{1/2}-16) ?
The solution to 5((v^2+256)^{1/2}-16) is 5(v^2+256)^{1/2}-80