How do we do middle- term splitting for 1.5 + 301.5 - 8100?
Answers
Answer:
Step-by-step explanation:
Step 1 :
603
Simplify ———
2
Equation at the end of step 1 :
15 603
((——•(n2))+(———•n))-8100 = 0
10 2
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
3 603n
((— • n2) + ————) - 8100 = 0
2 2
Step 3 :
Equation at the end of step 3 :
3n2 603n
(——— + ————) - 8100 = 0
2 2
Step 4 :
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3n2 + 603n 3n2 + 603n
—————————— = ——————————
2 2
Equation at the end of step 4 :
(3n2 + 603n)
———————————— - 8100 = 0
2
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
8100 8100 • 2
8100 = ———— = ————————
1 2
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
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
3n2 + 603n = 3n • (n + 201)
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:
3n • (n+201) - (8100 • 2) 3n2 + 603n - 16200
————————————————————————— = ——————————————————
2 2
Step 7 :
Pulling out like terms :
7.1 Pull out like factors :
3n2 + 603n - 16200 = 3 • (n2 + 201n - 5400)
Hope it works!