Please solve the 6th question
Answers
Answer:
m³-12m²+48m-64
(m) ³+(-4)³+3(-4) (m) ²+3(-4) ²(m)
(m-4) ³
Answer:
(m²-12m-16)
Step-by-step explanation:
STEP1:Equation at the end of step 1
(((m3) - (22•3m2)) + 48m) - 64m
STEP2:
STEP3:Pulling out like terms
3.1 Pull out like factors :
m3 - 12m2 - 16m = m • (m2 - 12m - 16)
Trying to factor by splitting the middle term
3.2 Factoring m2 - 12m - 16
The first term is, m2 its coefficient is 1 .
The middle term is, -12m its coefficient is -12 .
The last term, "the constant", is -16
Step-1 : Multiply the coefficient of the first term by the constant 1 • -16 = -16
Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is -12 .
-16 + 1 = -15 -8 + 2 = -6 -4 + 4 = 0 -2 + 8 = 6 -1 + 16 = 15
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
m • (m2 - 12m - 16)