What is (w-3)^5-(w-3)^2 ?

The solution to (w-3)^5-(w-3)^2 is w^5-15w^4+90w^3-271w^2+411w-252

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simplify (w-3)^5-(w-3)^2

simplify

(w - 3)^{5} - (w - 3)^{2}

w^{5} - 15 w^{4} + 90 w^{3} - 271 w^{2} + 411 w - 252

Solution steps

(w - 3)^{5} - (w - 3)^{2}

(w - 3)^{5} : w^{5} - 15 w^{4} + 90 w^{3} - 270 w^{2} + 405 w - 243

= w^{5} - 15 w^{4} + 90 w^{3} - 270 w^{2} + 405 w - 243 - (w - 3)^{2}

(w - 3)^{2} : w^{2} - 6 w + 9

= w^{5} - 15 w^{4} + 90 w^{3} - 270 w^{2} + 405 w - 243 - (w^{2} - 6 w + 9)

- (w^{2} - 6 w + 9) : - w^{2} + 6 w - 9

= w^{5} - 15 w^{4} + 90 w^{3} - 270 w^{2} + 405 w - 243 - w^{2} + 6 w - 9

Simplify

w^{5} - 15 w^{4} + 90 w^{3} - 270 w^{2} + 405 w - 243 - w^{2} + 6 w - 9 : w^{5} - 15 w^{4} + 90 w^{3} - 271 w^{2} + 411 w - 252

= w^{5} - 15 w^{4} + 90 w^{3} - 271 w^{2} + 411 w - 252

(- 7 - 10 i) + (- 4 + 2 i)

- \frac{4}{6} \cdot 0.4

x y - y^{5}

- 4112

What is (w-3)^5-(w-3)^2 ?
The solution to (w-3)^5-(w-3)^2 is w^5-15w^4+90w^3-271w^2+411w-252