K^(2)-5k+2)(K-5) Multiplying Binomials

K^(2)-5k+2)(k-5) multiplying binomials

 

Answer:

k³ - 10k²+ 27k - 10

Step-by-step explanation:

Given: k^(2)-5k+2)(k-5)

ASked: Product of the given polynomials

Solution:

= (k²-5k+2)(k-5)

= (k²)(k) - (5k)(k) + 2(k) - (5)(k²) - (5)(-5k) - (5)(2) (do the operation)

= k³ - 5k² +2k -5k²+ 25k -10 (combine like terms)

=  k³  - 5k² - 5k²+2k+25k -10

= k³ - 10k²+ 27k - 10 (final answer)

Therefore, the product of (k²-5k+2)(k-5) is k³ - 10k²+ 27k - 10.