(xii) x6-8by x2-2
please divide as soon as possible
Answers
Answer: Hope this helps you
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Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
8
Simplify ——
x2
Equation at the end of step
1
:
8
((x6) - ——) - 2
x2
STEP
2
:
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x2 as the denominator :
x6 x6 • x2
x6 = —— = ———————
1 x2
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:
x6 • x2 - (8) x8 - 8
————————————— = ——————
x2 x2
Equation at the end of step
2
:
(x8 - 8)
———————— - 2
x2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x2 as the denominator :
2 2 • x2
2 = — = ——————
1 x2
Trying to factor as a Difference of Squares:
3.2 Factoring: x8 - 8
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 8 is not a square !!