simplify(9y²+6y-1/3y+1) please answer me this question on paper
Answers
Answer:
Step-by-step explanation:
1
Simplify —
3
1
(((9•(y2))+6y)-(—•y))+1
3
y
((32y2 + 6y) - —) + 1
3
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
9y2 + 6y (9y2 + 6y) • 3
9y2 + 6y = ———————— = ——————————————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
4.1 Pull out like factors :
9y2 + 6y = 3y • (3y + 2)
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3y • (3y+2) • 3 - (y) 27y2 + 17y
————————————————————— = ——————————
3 3
(27y2 + 17y)
———————————— + 1
3
27y2 + 17y + 3
——————————————
3