What is expand 0.5(5wi+1)+(5wi+1)(39wi+1)+38.38k ?

The solution to expand 0.5(5wi+1)+(5wi+1)(39wi+1)+38.38k is (-195w^2+38.38k+1.5)+46.5wi

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expand 0.5(5wi+1)+(5wi+1)(39wi+1)+38.38k

expand

0.5 (5 w i + 1) + (5 w i + 1) (39 w i + 1) + 38.38 k

(- 195 w^{2} + 38.38 k + 1.5) + 46.5 w i

Solution steps

0.5 (5 w i + 1) + (5 w i + 1) (39 w i + 1) + 38.38 k

Expand

0.5 (5 w i + 1) : 2.5 w i + 0.5

= 2.5 w i + 0.5 + (5 w i + 1) (39 w i + 1) + 38.38 k

Expand

(5 w i + 1) (39 w i + 1) : - 195 w^{2} + 44 w i + 1

= 2.5 w i + 0.5 - 195 w^{2} + 44 w i + 1 + 38.38 k

Simplify

2.5 w i + 0.5 - 195 w^{2} + 44 w i + 1 + 38.38 k : - 195 w^{2} + 46.5 w i + 38.38 k + 1.5

= - 195 w^{2} + 46.5 w i + 38.38 k + 1.5

Rewrite in standard complex form:

(- 195 w^{2} + 38.38 k + 1.5) + 46.5 w i

= (- 195 w^{2} + 38.38 k + 1.5) + 46.5 w i

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What is expand 0.5(5wi+1)+(5wi+1)(39wi+1)+38.38k ?
The solution to expand 0.5(5wi+1)+(5wi+1)(39wi+1)+38.38k is (-195w^2+38.38k+1.5)+46.5wi