factorisation 48x3-36x2
Answers
Answer:
144-72
72
please like and follow me
Step by Step Solution:
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 1 : Equation at the end of step 1
((48 • (x3)) - (22•32x2)) + 72x
STEP 2 :
Equation at the end of step 2 :
((24•3x3) - (22•32x2)) + 72x
STEP 3:
Pulling out like terms
4.1 Pull out like factors :
48x3 - 36x2 + 72x = 12x • (4x2 - 3x + 6)
Trying to factor by splitting the middle term
4.2 Factoring 4x2 - 3x + 6
The first term is, 4x2 its coefficient is 4 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is +6
Step-1 : Multiply the coefficient of the first term by the constant 4 • 6 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -3 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
12x • (4x2 - 3x + 6)