Answer:
1/4b^2+ 4bc + 16c?=4
Step-by-step explanation:
STEP
1
:
1
Simplify —
4
Equation at the end of step
1
:
1
((— • b2) + 4bc) + 16c
4
STEP
2
:
Equation at the end of step 2
b2
(—— + 4bc) + 16c
4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
4bc 4bc • 4
4bc = ——— = ———————
1 4
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
Adding fractions that have a common denominator :
3.2 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:
b2 + 4bc • 4 b2 + 16bc
———————————— = —————————
4 4
Equation at the end of step
3
:
(b2 + 16bc)
——————————— + 16c
4
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
16c 16c • 4
16c = ——— = ———————
1 4
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
b2 + 16bc = b • (b + 16c)
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
b • (b+16c) + 16c • 4 b2 + 16bc + 64c
————————————————————— = ———————————————
4 4
