Answer:
[tex]3k^2+18k-13[/tex]
Step-by-step explanation:
Simplify each term. Apply the distributive property.
[tex]8k+k^2-6-(10k)-1*7-(-2k^2)[/tex]
Simplify.
[tex]8k+k^2-6+10k-7+2k^2[/tex]
Simplify by adding terms.
Add [tex]8k[/tex] to [tex]10k[/tex].
[tex]18k+k^2-6-7+2k^2[/tex]
Add [tex]k^2[/tex] and [tex]2k^2[/tex].
[tex]18k+3k^2-6-7[/tex]
Simplify the expression.
Subtract [tex]7[/tex] from [tex]-6[/tex].
[tex]19k+3k^2-13[/tex]
Reorder [tex]18k[/tex] and [tex]3k^2[/tex]
[tex]=3k^2+18k-13[/tex]