Answer:
see this
Step-by-step explanation:
STEP
1
:
Simplify —
2
Equation at the end of step
((3x - —) + (4y))2
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
3x 3x • 2
3x = —— = ——————
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
Adding fractions that have a common denominator :
2.2 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:
3x • 2 - (1) 6x - 1
———————————— = ——————
2 2
(6x - 1)
(———————— + (4y))2
3
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a whole to a fraction
4y 4y • 2
4y = —— = ——————
3.2 Adding up the two equivalent fractions
(6x-1) + 4y • 2 6x + 8y - 1
——————————————— = ———————————
(6x + 8y - 1)
(—————————————)2
4
Final result :
(6x + 8y - 1)2
——————————————
22
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Answers & Comments
Answer:
see this
Step-by-step explanation:
STEP
1
:
1
Simplify —
2
Equation at the end of step
1
:
1
((3x - —) + (4y))2
2
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
3x 3x • 2
3x = —— = ——————
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
Adding fractions that have a common denominator :
2.2 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:
3x • 2 - (1) 6x - 1
———————————— = ——————
2 2
Equation at the end of step
2
:
(6x - 1)
(———————— + (4y))2
2
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
4y 4y • 2
4y = —— = ——————
1 2
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(6x-1) + 4y • 2 6x + 8y - 1
——————————————— = ———————————
2 2
Equation at the end of step
3
:
(6x + 8y - 1)
(—————————————)2
2
STEP
4
:
Final result :
(6x + 8y - 1)2
——————————————
22