Respuesta :
Answer: 10xy²
We can type 10xy^2 to mean the same thing.
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Explanation:
The LCM of the coefficients 5 and 10 is 10. Note how 5 is a factor of 10.
For the variable portions, you select the terms that are unique and have the highest exponent. We have an x term with exponent 1 and y term with exponent as high as 2. So that's why we go with xy² as the variable portion.
Overall, we end up with an LCM of 10xy²
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((5 • (x2)) - 5xy) - (2•5y2)
STEP
2
:
Equation at the end of step
2
:
(5x2 - 5xy) - (2•5y2)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
5x2 - 5xy - 10y2 = 5 • (x2 - xy - 2y2)
Trying to factor a multi variable polynomial :
4.2 Factoring x2 - xy - 2y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (x + y)•(x - 2y)
Final result :
5 • (x + y) • (x - 2y)
STEP
1
:
Equation at the end of step 1
((5 • (x2)) - 5xy) - (2•5y2)
STEP
2
:
Equation at the end of step
2
:
(5x2 - 5xy) - (2•5y2)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
5x2 - 5xy - 10y2 = 5 • (x2 - xy - 2y2)
Trying to factor a multi variable polynomial :
4.2 Factoring x2 - xy - 2y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (x + y)•(x - 2y)
Final result :
5 • (x + y) • (x - 2y)
