if a = 3 and b = 7, what is 4a^3b + 6a^2b^2 + 4ab^3
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if a = 3 and b = 7, what is 4a^3b + 6a^2b^2 + 4ab^3
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Answer:
-2ab • (2a2 + 3ab + 2b2)
Step by step solution:
STEP
1
:
Equation at the end of step 1
((0-((4•(a3))•b))-((6•(a2))•(b2)))-22ab3
STEP
2
:
Equation at the end of step
2
:
((0-((4•(a3))•b))-((2•3a2)•b2))-22ab3
STEP
3
:
Equation at the end of step
3
:
((0 - (22a3 • b)) - (2•3a2b2)) - 22ab3
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
-4a3b - 6a2b2 - 4ab3 = -2ab • (2a2 + 3ab + 2b2)
Trying to factor a multi variable polynomial :
5.2 Factoring 2a2 + 3ab + 2b2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
-2ab • (2a2 + 3ab + 2b2)
Calculated