nbsp-is a factor of 4xy - 2y - 6x - 3-2x - 3-2y - 3-2x - 1-y - 3-2x - 1-2y - 6-2x - 1-2y - 3-

The correct option is D (2x + 1)(2y + 3)Given, the expression is nbsp;4xy + 2y + 6x + 3. Clubbing the first two and last two terms, we get, (4xy + 2y) + (6x + ...

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Standard VIII

Mathematics

Rational Algebraic Expression

nbsp;is a fac...

Question

is a factor of $4 x y + 2 y + 6 x + 3$ .

(2 x + 3) (2 y + 3)

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(2 x + 1) (y + 3)

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(2 x + 1) (2 y + 6)

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(2 x + 1) (2 y + 3)

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Solution

The correct option is D $(2 x + 1) (2 y + 3)$
Given, the expression is $4 x y + 2 y + 6 x + 3$ .
Clubbing the first two and last two terms, we get,
$(4 x y + 2 y) + (6 x + 3)$
= $2 y (2 x + 1) + 3 (2 x + 1)$
= $(2 x + 1) (2 y + 3)$

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Similar questions

Q. Solve the following system of equations by matrix method:
(i) x + y − z = 3
2x + 3y + z = 10
3x − y − 7z = 1

(ii) x + y + z = 3
2x − y + z = − 1
2x + y − 3z = − 9

(iii) 6x − 12y + 25z = 4
4x + 15y − 20z = 3
2x + 18y + 15z = 10

(iv) 3x + 4y + 7z = 14
2x − y + 3z = 4
x + 2y − 3z = 0

(v)

\frac{2}{x} - \frac{3}{y} + \frac{3}{z} = 10 \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 10 \frac{3}{x} - \frac{1}{y} + \frac{2}{z} = 13

(vi) 5x + 3y + z = 16
2x + y + 3z = 19
x + 2y + 4z = 25

(vii) 3x + 4y + 2z = 8
2y − 3z = 3
x − 2y + 6z = −2

(viii) 2x + y + z = 2
x + 3y − z = 5
3x + y − 2z = 6

(ix) 2x + 6y = 2
3x − z = −8
2x − y + z = −3

(x) x − y + z = 2
2x − y = 0
2y − z = 1

(xi) 8x + 4y + 3z = 18
2x + y +z = 5
x + 2y + z = 5

(xii) x + y + z = 6
x + 2z = 7
3x + y + z = 12

(xiii)

\frac{2}{x} + \frac{3}{y} + \frac{10}{z} = 4, \frac{4}{x} - \frac{6}{y} + \frac{5}{z} = 1, \frac{6}{x} + \frac{9}{y} - \frac{20}{z} = 2; x, y, z \neq 0

(xiv) x − y + 2z = 7
3x + 4y − 5z = −5
2x − y + 3z = 12

\frac{3}{2} x + \frac{2}{3} y = 13 \frac{1}{3}; \frac{2}{3} x + \frac{3}{2} y = 8 \frac{1}{3}

Q. Let

16 x^{2} - 3 y^{2} - 32 x - 12 y = 44

represents a hyperbola. Then :

Q. Let

16 x^{2} - 3 y^{2} - 32 x - 12 y = 44

represent a hyperbola. Then

Q. The equation

16 x^{2} - 3 y^{2} - 32 x + 12 y - 44 = 0

represents a hyperbola.

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is a factor of 4xy+2y+6x+3.

The correct option is D (2x+1)(2y+3)Given, the expression is 4xy+2y+6x+3. Clubbing the first two and last two terms, we get, (4xy+2y)+(6x+3) = 2y(2x+1)+3(2x+1) = (2x+1)(2y+3)

is a factor of $4 x y + 2 y + 6 x + 3$ .

The correct option is D $(2 x + 1) (2 y + 3)$
Given, the expression is $4 x y + 2 y + 6 x + 3$ .
Clubbing the first two and last two terms, we get,
$(4 x y + 2 y) + (6 x + 3)$
= $2 y (2 x + 1) + 3 (2 x + 1)$
= $(2 x + 1) (2 y + 3)$