60-15a^2b^2 divided by (15ab)
Pls pls give the answer step by step
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Answer:
15ab2 • (a - b) • (3a + 4b)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((15•(a2))•(b4))-(60a•(b3)))+((32•5a3)•b2)
STEP
2
:
Equation at the end of step
2
:
(((15•(a2))•(b4))-(22•3•5ab3))+(32•5a3b2)
STEP
3
:
Equation at the end of step
3
:
(((3•5a2) • b4) - (22•3•5ab3)) + (32•5a3b2)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
45a3b2 + 15a2b4 - 60ab3 = 15ab2 • (3a2 + ab2 - 4b)
Trying to factor a multi variable polynomial :
5.2 Factoring 3a2 + ab2 - 4b
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (a - b)•(3a + 4b)
Final result :
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