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Popular >

expand iw(iw+2)(iw+3)(iw+7)+kiw+k5

Solution

expand

i \cdot w \cdot (i \cdot w + 2) \cdot (i \cdot w + 3) \cdot (i \cdot w + 7) + k \cdot i \cdot w + k \cdot 5

Solution

(w^{4} - 41 w^{2} + 5 k) + (- 12 w^{3} + 42 w + k w) i

Solution steps

i w (i w + 2) (i w + 3) (i w + 7) + ki w + k \cdot 5

= w i (i w + 2) (i w + 3) (i w + 7) + k w i + 5 k

Expand

w i (i w + 2) (i w + 3) (i w + 7) : w^{4} - 12 w^{3} i - 41 w^{2} + 42 w i

= w^{4} - 12 w^{3} i - 41 w^{2} + 42 w i + k w i + 5 k

Rewrite in standard complex form:

(w^{4} - 41 w^{2} + 5 k) + (- 12 w^{3} + 42 w + k w) i

= (w^{4} - 41 w^{2} + 5 k) + (- 12 w^{3} + 42 w + k w) i

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Frequently Asked Questions (FAQ)

What is expand i*w*(i*w+2)*(i*w+3)*(i*w+7)+k*i*w+k*5 ?
The solution to expand i*w*(i*w+2)*(i*w+3)*(i*w+7)+k*i*w+k*5 is (w^4-41w^2+5k)+(-12w^3+42w+kw)i