Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x5" was replaced by "x^5".
STEP 1:
15
Simplify ——
xy
Equation at the end of step 1:
((x5) + 12xy) + ——
STEP 2:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using xy as the denominator :
x5 + 12xy (x5 + 12xy) • xy
x5 + 12xy = ————————— = ————————————————
1 xy
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 3:
Pulling out like terms
3.1 Pull out like factors :
x5 + 12xy = x • (x4 + 12y)
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:
x • (x4+12y) • xy + 15 x6y + 12x2y2 + 15
—————————————————————— = —————————————————
xy xy
Trying to factor a multi variable polynomial :
3.3 Factoring x6y + 12x2y2 + 15
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
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Answers & Comments
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x5" was replaced by "x^5".
STEP 1:
15
Simplify ——
xy
Equation at the end of step 1:
15
((x5) + 12xy) + ——
xy
STEP 2:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using xy as the denominator :
x5 + 12xy (x5 + 12xy) • xy
x5 + 12xy = ————————— = ————————————————
1 xy
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 3:
Pulling out like terms
3.1 Pull out like factors :
x5 + 12xy = x • (x4 + 12y)
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:
x • (x4+12y) • xy + 15 x6y + 12x2y2 + 15
—————————————————————— = —————————————————
xy xy
Trying to factor a multi variable polynomial :
3.3 Factoring x6y + 12x2y2 + 15
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
x6y + 12x2y2 + 15
—————————————————
xy