Question

43. Simplify (k – 5) - (k2 + 8).

Answer 1

Answer:

D.-k^2+k-13

Step-by-step explanation:

(k-5)-(k^2+8)

Expand the brackets. Remember brackets mean to multiply.

k*k^2= k^2+k

-5*+8= -13

Add values together.

k^2+k-13

Answer 2

Answer:

(D) -k2 + k - 13

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -k2 + k - 13  =   -1 • (k2 - k + 13)

Trying to factor by splitting the middle term

2.2     Factoring  k2 - k + 13

The first term is,  k2  its coefficient is  1 .

The middle term is,  -k  its coefficient is  -1 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -1 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -k2 + k - 13

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