Divide:
56m^4 -64m^3 -72m^2
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8m^3
To divide the polynomial (56m^4 - 64m^3 - 72m^2) by (8m^3), we need to divide each term of the polynomial by (8m^3) individually.
Dividing 56m^4 by 8m^3 gives us 7m.
Dividing -64m^3 by 8m^3 gives us -8.
Dividing -72m^2 by 8m^3 gives us -9/m.
Therefore, the division of (56m^4 - 64m^3 - 72m^2) by (8m^3) is:
7m - 8 - 9/m.
To divide the expression (56m^4 - 64m^3 - 72m^2) by 8m^3, follow these steps:
Step 1: Divide the first term of the numerator by the first term of the denominator.
(56m^4 / 8m^3) = 7m^4
Step 2: Multiply the result from step 1 by the entire denominator.
(7m^4) * (8m^3) = 56m^7
Step 3: Subtract the result from step 2 from the numerator (56m^4 - 56m^7).
(56m^4 - 56m^7)
Step 4: Bring down the next term from the numerator (-64m^3).
Step 5: Divide the term brought down in step 4 by the first term of the denominator.
(-64m^3 / 8m^3) = -8m^3
Step 6: Multiply the result from step 5 by the entire denominator.
(-8m^3) * (8m^3) = -64m^6
Step 7: Subtract the result from step 6 from the expression obtained after step 3 (56m^4 - 56m^7 - (-64m^6)).
(56m^4 - 56m^7 - (-64m^6)) = 56m^4 - 56m^7 + 64m^6
Step 8: Bring down the next term from the numerator (-72m^2).
Step 9: Divide the term brought down in step 8 by the first term of the denominator.
(-72m^2 / 8m^3) = -9/m
Step 10: Multiply the result from step 9 by the entire denominator.
(-9/m) * (8m^3) = -72m^2
Step 11: Subtract the result from step 10 from the expression obtained after step 7 (56m^4 - 56m^7 + 64m^6 - (-72m^2)).
(56m^4 - 56m^7 + 64m^6 - (-72m^2)) = 56m^4 - 56m^7 + 64m^6 + 72m^2
Therefore, the division of (56m^4 - 64m^3 - 72m^2) by (8m^3) is equal to 7m^4 - 8m^3 + 64m^6 + 72m^2.