What is expand (k)(2.85)^2(k/(2pi^2)+107.92) ?

The solution to expand (k)(2.85)^2(k/(2pi^2)+107.92) is 0.41149…k^2+876.5802k

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expand (k)(2.85)^2(k/(2pi^2)+107.92)

expand

(k) (2.85)^{2} (\frac{k}{2 π ^{2}} + 107.92)

0.41149 \dots k^{2} + 876.5802 k

Solution steps

(k) (2.85)^{2} (\frac{k}{2 π ^{2}} + 107.92)

= (2.85)^{2} (k) (\frac{k}{2 π ^{2}} + 107.92)

Apply the distributive law:

a (b + c) = ab + a c

a = (k) (2.85)^{2}, b = \frac{k}{2 π ^{2}}, c = 107.92

= (k) (2.85)^{2} \frac{k}{2 π ^{2}} + (k) (2.85)^{2} \cdot 107.92

= (2.85)^{2} (k) \frac{k}{2 π ^{2}} + (2.85)^{2} \cdot 107.92 (k)

Simplify

(2.85)^{2} (k) \frac{k}{2 π ^{2}} + (2.85)^{2} \cdot 107.92 (k) : 0.41149 \dots k^{2} + 876.5802 k

= 0.41149 \dots k^{2} + 876.5802 k

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What is expand (k)(2.85)^2(k/(2pi^2)+107.92) ?
The solution to expand (k)(2.85)^2(k/(2pi^2)+107.92) is 0.41149…k^2+876.5802k