simplify 5y2−2z3+26+x2−9z3−2y2−4x2−11
Answers
Answer:
-11z3 + 3y2 - 3x2 + 15.
Step-by-step explanation:
5y2−2z3+26+x2−9z3−2y2−4x2−11 Bring like terms together:
= -2z3 - 9z3 + 5y2 - 2y2 + x2 - 4x2 + 26 - 11 Simplify like terms:
= -11z3 + 3y2 - 3x2 + 15.
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2".
STEP
1
:
Equation at the end of step 1
(5y2 - 2y) - 3
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 5y2-2y-3
The first term is, 5y2 its coefficient is 5 .
The middle term is, -2y its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is -2 .
-15 + 1 = -14
-5 + 3 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 3
5y2 - 5y + 3y - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
5y • (y-1)
Add up the last 2 terms, pulling out common factors :
3 • (y-1)
Step-5 : Add up the four terms of step 4 :
(5y+3) • (y-1)
Which is the desired factorization
Final result :
(y - 1) • (5y + 3)
