(15y 4 + 10y 3 - 5y 2 ) ÷ 5y 2
Answers
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2". 3 more similar replacement(s).
STEP1:
y2 Simplify —— 5
Equation at the end of step1:
y2 ((15•(y4))+(10•(y3)))-((3•——)•y2) 5
STEP2:
Multiplying exponential expressions :
2.1 y2 multiplied by y2 = y(2 + 2) = y4
Equation at the end of step2:
3y4 ((15•(y4))+(10•(y3)))-——— 5
STEP 3 :
Equation at the end of step3:
3y4 ((15 • (y4)) + (2•5y3)) - ——— 5
STEP 4 :
Equation at the end of step4:
3y4 ((3•5y4) + (2•5y3)) - ——— 5
STEP5:Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
15y4 + 10y3 (15y4 + 10y3) • 5 15y4 + 10y3 = ——————————— = ————————————————— 1 5
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
STEP6:Pulling out like terms
6.1 Pull out like factors :
15y4 + 10y3 = 5y3 • (3y + 2)
Adding fractions that have a common denominator :
6.2 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:
5y3 • (3y+2) • 5 - (3y4) 72y4 + 50y3 ———————————————————————— = ——————————— 5 5
STEP7:
Pulling out like terms :
7.1 Pull out like factors :
72y4 + 50y3 = 2y3 • (36y + 25)
Final result :
2y3 • (36y + 25) ———————————————— 5