factorize 30r^3+2r^2+30r/10 r^3
Answers
Answer:
r2 • (3r2 + 30r + 2)
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "r3" was replaced by "r^3". 2 more similar replacement(s).
STEP
1
:
r
Simplify ——
10
Equation at the end of step
1
:
r
((30•(r3))+(2•(r2)))+((30•——)•r3)
10
STEP
2
:
Multiplying exponential expressions :
2.1 r1 multiplied by r3 = r(1 + 3) = r4
Equation at the end of step
2
:
((30•(r3))+(2•(r2)))+3r4
STEP
3
:
Equation at the end of step
3
:
((30 • (r3)) + 2r2) + 3r4
STEP
4
:
Equation at the end of step
4
:
((2•3•5r3) + 2r2) + 3r4
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
3r4 + 30r3 + 2r2 = r2 • (3r2 + 30r + 2)
Trying to factor by splitting the middle term
6.2 Factoring 3r2 + 30r + 2
The first term is, 3r2 its coefficient is 3 .
The middle term is, +30r its coefficient is 30 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 3 • 2 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 30 .
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5
3 + 2 = 5
6 + 1 = 7
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
r2 • (3r2 + 30r + 2)