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what is the quotient of {24a^4 b^2 + 36a^2 b-36ab^2 +48 ab}÷(12ab)?

Sagot :

To divide this polynomial, we will follow steps below:

Step 1

Arrange

step 2

Divide 24a⁴b² by by 12ab

The result will be 2a³b

Write the result at the top of the root sign

Step 3

Mutiply 12ab by 2a³b, the result will be 24a⁴b²

Write the result in the root sign under 24a⁴b²

step 4

subtract, the result is zero

step 5

Take down 36a²b

Step 6

divide 36a²b by 12ab

The result is 3a

write the result at the top of the root sign

step 7

Multiply 12ab by 3a

The result is 36a²b

Write the result in the root sign under 36a²b

Step8

subtract, the result is 0

step 9

Take down -36ab²

step10

Divide -36ab² by 12ab

The result is -3b

Write the result at the top of the root sign

step11

Multiply 12ab by -3b

The result is -36ab²

Write the result in the root sign under -36ab²

step12

subtract, the result is zero

step 13

Take down 48ab

step 14

divide 48ab by 12 ab

The result is 4

write the result at the top root sign

step 15

Mulltiply 12ab by 4

The result is 48ab

Write the result in the root sign under 48 ab and then subtract

The result is zero

Hence the quotient is : 2a³b + 3a -3b + 4

View image NikoletteV52856
View image NikoletteV52856
View image NikoletteV52856
View image NikoletteV52856
View image NikoletteV52856