Question

combine the like terms to make a simpler expression: 5k (-2k)-(-1)

Answer 1

Hey there, Lets solve this problem together. 

Our first step will be to gather like terms 

$5*-2k*k+1$ 

 Simplify 5×−2k×k to −5×2k×k

$-5*2k*k+1$ 

Simplify 5×2k×k to 10k^2 

$-10k^2+1$ 

Answer 2

Answer:  The required simpler expression is $3k-1.$

Step-by-step explanation:  We are given to combine the terms to make a simpler expression from the following expression :

$E=5k+(-2k)-(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given expression contain terms with unknown variable k and the constant terms, so we can combine them as follows :

$E\\\\=5k+(-2k)-(-1)\\\\=5k-2k-1\\\\=(5-2)k-1\\\\=3k-1.$

Thus, the required simpler expression is $3k-1.$