What is expand s+i(-s^2+1) ?

The solution to expand s+i(-s^2+1) is s+(-s^2+1)i

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expand s+i(-s^2+1)

expand

s + i (- s^{2} + 1)

s + (- s^{2} + 1) i

Solution steps

s + i (- s^{2} + 1)

Apply the distributive law:

a (b + c) = ab + a c

i (- s^{2} + 1) = i (- s^{2}) + i 1

= s + i (- s^{2}) + i 1

Simplify

i (- s^{2}) + i 1 : - s^{2} i + i

= s - s^{2} i + i

Rewrite in standard complex form:

s + (- s^{2} + 1) i

= s + (- s^{2} + 1) i

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