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3 years ago

43. Simplify (k – 5) - (k2 + 8).

Mathematics

2 answers:

CaHeK987 [17]3 years ago

4 0

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

lesantik [10]3 years ago

3 0

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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