Simplify:6x^2+9x/3x^2-12x
Answers
Answer:
Final result :
-x • (5x2y - 18x - 36)
——————————————————————
3
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
y
Simplify —
9
Equation at the end of step 1 :
y
((6•(x2))-((15x•—)•x2))+12x
9
Step 2 :
Multiplying exponential expressions :
2.1 x1 multiplied by x2 = x(1 + 2) = x3
Equation at the end of step 2 :
5x3y
((6 • (x2)) - ————) + 12x
3
Step 3 :
Equation at the end of step 3 :
5x3y
((2•3x2) - ————) + 12x
3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
(2•3x2) (2•3x2) • 3
(2•3x2) = ——————— = ———————————
1 3
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 :
4.2 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:
(2•3x2) • 3 - (5x3y) 18x2 - 5x3y
———————————————————— = ———————————
3 3
Equation at the end of step 4 :
(18x2 - 5x3y)
————————————— + 12x
3
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
12x 12x • 3
12x = ——— = ———————
1 3
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
18x2 - 5x3y = -x2 • (5xy - 18)
Adding fractions that have a common denominator :
6.2 Adding up the two equivalent fractions
-x2 • (5xy-18) + 12x • 3 -5x3y + 18x2 + 36x
———————————————————————— = ——————————————————
3 3
Step 7 :
Pulling out like terms :
7.1 Pull out like factors :
-5x3y + 18x2 + 36x = -x • (5x2y - 18x - 36)
Trying to factor a multi variable polynomial :
7.2 Factoring 5x2y - 18x - 36
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
-x • (5x2y - 18x - 36)
——————————————————————
3
hope it helps you
ANS=x(5x2y-18x-36)