For this case we have the following expressions:
a) [tex]12c-5c[/tex], it is observed that they are similar terms so they can be subtracted. So, we have:
[tex]12c-5c = 7c[/tex] in its most simplified form.
b) [tex]6 (4x + 9)[/tex], to simplify we apply the distibutive property that establishes:
[tex]a (b + c) = ab + ac[/tex], then:
[tex]6 (4x + 9) = 24x + 54[/tex]
c) [tex]26rs + 17st[/tex], it is observed that they are not similar terms because the variables that accompany the coefficients (26 and 17) are different. Thus, the expression can not be simplified.
d)[tex]2w-3 (4v + 3v)[/tex], we apply distributive property to the terms within parentheses:
[tex]2w-12v-9v[/tex], add similar terms taking into account that equal signs are added and the same sign is placed, so we have:
[tex]2w-21v[/tex] in its simplified form
ANswer:
[tex]12c-5c = 7c[/tex]
[tex]6 (4x + 9) = 24x + 54[/tex]
[tex]26rs + 17st[/tex], can not be simplified
[tex]2w-3 (4v + 3v) = 2w-21v[/tex]
