Question

(16a2 - 10ab) ÷ (2a) - (12ab-9b2) ÷ (3b)​

Answer 1

STEP

1

:

Equation at the end of step 1

((6•(a2))-10ab) (12ab-32b2)

———————————————-———————————

-2a -3b

STEP

2

:

12ab - 9b2

Simplify ——————————

-3b

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

12ab - 9b2 = 3b • (4a - 3b)

Equation at the end of step

3

:

((6 • (a2)) - 10ab)

——————————————————— - (3b - 4a)

-2a

STEP

4

:

Equation at the end of step

4

:

((2•3a2) - 10ab)

———————————————— - (3b - 4a)

-2a

STEP

5

:

6a2 - 10ab

Simplify ——————————

-2a

STEP

6

:

Pulling out like terms

6.1 Pull out like factors :

6a2 - 10ab = 2a • (3a - 5b)

Equation at the end of step

6

:

(5b - 3a) - (3b - 4a)

STEP

7

:

Final result :

a + 2b

your answer ☺️