Math, asked by jhapragati134, 10 days ago

60-15a^2b^2 divided by (15ab)

Pls pls give the answer step by step

Answers

Answered by kaviyitriarchanapand
0

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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