What is the answer to: -4x + 2y + z - 3x + 2y - 2z
Answers
-1x+4y+(-1z)
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Answer:
Changes made to your input should not affect the solution:
(1): "/-3x" was replaced by "/(-3x)".
Step 1 :
z
Simplify ———
-3x
Equation at the end of step 1 :
z
((2y - 3x) - ———) + 4z
-3x
Step 2 :Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using -3x as the denominator :
2y - 3x (2y - 3x) • -3x
2y - 3x = ——————— = ———————————————
1 -3x
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:
(2y-3x) • 3x - (z • -1) -9x2 + 6xy + z
——————————————————————— = ——————————————
3x 3x
Equation at the end of step 2 :
(-9x2 + 6xy + z)
———————————————— + 4z
3x
Step 3 :Rewriting the whole as an Equivalent Fraction
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3x as the denominator :
4z 4z • 3x
4z = —— = ———————
1 3x
Trying to factor a multi variable polynomial :
3.2 Factoring -9x2 + 6xy + z
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Adding fractions that have a common denominator :
3.3 Adding up the two equivalent fractions
(-9x2+6xy+z) + 4z • 3x -9x2 + 6xy + 12xz + z
—————————————————————— = —————————————————————
3x 3x
Final result :
-9x2 + 6xy + 12xz + z
—————————————————————
3x