Question

2. Divide:
(1) 5m³ - 30m² + 45m by 5m



a) m² - 6m + 9m

b) m³ + 6m + 9

c) m² - 6m + 9

d) m² + 6m + 9​

Answer 1

Answer:

1) 5m³ - 30m² + 45m by 5m

a) m² - 6m + 9m

b) m³ + 6m + 9

c) m² - 6m + 9

d) m² + 6m + 9

Answer 2

The answer is c) m² - 6m + 9.

Given

$\frac{5m^3 - 30m^2 + 45m }{5m}$

To Find

Solution of the division

Solution

Here we have,

$\frac{5m^3 - 30m^2 + 45m }{5m}$

Now, we know that for any fraction,

$\frac{a+b+c+..}{d} =\frac{a}{d} +\frac{b}{d} +\frac{c}{d} +...$

Therefore,

$\frac{5m^3 - 30m^2 + 45m }{5m}$

$= \frac{5m^3}{5m}- \frac{30m^2}{5m} +\frac{45m}{5m}$

This again can be written as,

$\frac{5m X m^2} {5m}- \frac{5m X 6m}{5m} +\frac{5m X 9}{5m}$

Now, cancelling the 5m from the numerator and the denominator we get,

m² - 6m + 9

Therefore the answer is c) m² - 6m + 9.

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