Question

Преобразуйте многочлен в выражение. (u+3)(u+5)-(u+6)(u^2-6u+36)РЕБЯТ,СРОЧНОО!!)) ПОЖАЛУЙСТА:3

Answer 1

(u+3)(u+5)-(u+6)(u²-6u+36)=u²+3u+5u+15-(u³+216)=u²+3u+5u+15-u³-216=u²+8u-u³-201

Answer 2

Converting the Polynomial

To convert the given polynomial into an expression, we can start by expanding the products and then simplifying the resulting expression.

The given polynomial is: (u+3)(u+5)-(u+6)(u^2-6u+36)

Expanding the products, we get: (u+3)(u+5) = u^2 + 5u + 3u + 15 = u^2 + 8u + 15 and (u+6)(u^2-6u+36) = u^3 - 6u^2 + 36u + 6u^2 - 36u + 216 = u^3 + 36

Substituting these expansions back into the original expression, we have: (u^2 + 8u + 15) - (u^3 + 36)

Simplifying further, we get: u^2 + 8u + 15 - u^3 - 36

Combining like terms, the final expression is: -u^3 + u^2 + 8u - 21

So, the given polynomial (u+3)(u+5)-(u+6)(u^2-6u+36) can be expressed as -u^3 + u^2 + 8u - 21.

I hope this helps! If you have any further questions, feel free to ask.