simplify: (5a^2+a-12) ( a^2-6a+9)
Answers
Answer:
12a2 - 9a + 5
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((5•(a2))-6a)-4)-(((0-7a2)+3a)-9)
STEP
2
:
Equation at the end of step
2
:
((5a2 - 6a) - 4) - (-7a2 + 3a - 9)
STEP
3
:
Trying to factor by splitting the middle term
3.1 Factoring 12a2-9a+5
The first term is, 12a2 its coefficient is 12 .
The middle term is, -9a its coefficient is -9 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 12 • 5 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -9 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19
-12 + -5 = -17
-10 + -6 = -16
For tidiness, printing of 18 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
12a2 - 9a + 5
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