Divide 8 m 3-9 m 2-10 m by 2 m-A- 4 m 2-9-2 m -5B- 4 m 3-9-2 m 2-5 mC- 4 m 2-9-2 m -10D- 4 m 3-9-2 m -5

The correct option is A 4m^2 + 9/2m + 5Given, the expression is 8m^3 + 9m^2 + 10m/2m. Taking '2m' common from the numerator, we get 2m(4m^2 + 9/2m + 5)/2m =4m^ ...

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Byju's Answer

Standard VIII

Mathematics

Division of an Expression by a Monomial

Divide 8 m 3+...

Question

$Divide (8 m^{3} + 9 m^{2} + 10 m) by 2 m .$

4 m^{2} + \frac{9}{2} m + 5

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4 m^{3} + \frac{9}{2} m + 5

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4 m^{3} + \frac{9}{2} m^{2} + 5 m

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4 m^{2} + \frac{9}{2} m + 10

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Solution

The correct option is A $4 m^{2} + \frac{9}{2} m + 5$
Given, the expression is
$\frac{8 m^{3} + 9 m^{2} + 10 m}{2 m} .$
Taking '2m' common from the numerator, we get
$\frac{2 m (4 m^{2} + \frac{9}{2} m + 5)}{2 m}$
$= 4 m^{2} + \frac{9}{2} m + 5$

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Similar questions

Q. Find the product of

(\frac{1}{2} m - \frac{1}{3}) (\frac{1}{2} m + \frac{1}{3}) (\frac{1}{4} m^{2} + \frac{1}{9})

Q. The quotient obtained when

4 m^{5} - 4 m^{3} + 4

is divided by

2 m^{2}

Q. Simplify:

(l + 2 m + n)^{2} + (l - 2 m + n)^{2}

Match the following:

A		B
1)	(m + 2n) (m − 2n)	a)	m² − 16
2)	(3m + n) (3m − n)	b)	4m² − 25n²
3)	(m + 4) (m − 4)	c)	4m² + 25n²
4)	(2m + 5n) (2m − 5n)	d)	m² − 4n²
		e)	9m² + n²
		f)	9m² − n²

Simplify: \frac{4 m^{2} - 169 n^{2}}{2 m + 13 n}

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Divide (8m3+9m2+10m) by 2m.

The correct option is A 4m2+92m+5Given, the expression is 8m3+9m2+10m2m. Taking '2m' common from the numerator, we get 2m(4m2+92m+5)2m =4m2+92m+5

$Divide (8 m^{3} + 9 m^{2} + 10 m) by 2 m .$

The correct option is A $4 m^{2} + \frac{9}{2} m + 5$
Given, the expression is
$\frac{8 m^{3} + 9 m^{2} + 10 m}{2 m} .$
Taking '2m' common from the numerator, we get
$\frac{2 m (4 m^{2} + \frac{9}{2} m + 5)}{2 m}$
$= 4 m^{2} + \frac{9}{2} m + 5$