Factorizing the group method
$6 x^{3} + 8 x^{2} + 9 x y + 12 y$

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Solution

Consider given the expression,

$\Rightarrow 6 x^{3} + 8 x^{2} + 9 x y + 12 y$

$\Rightarrow 2 x^{2} (3 x + 4) + 3 y (3 x + 4)$

$\Rightarrow (3 x + 4) (2 x^{2} + 3 y)$

Hence, this is the answer.

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Similar questions

Q. Factorizing the group method
i.

2 x^{2} y + 6 x y^{2} + 4 x + 12 y

Q. Subtract

4 x^{3} + 8 x^{2}

from

- 2 x^{3} + 3 x^{2}

. .

6 x^{3} - 8 x^{2} + 4 x - 24

2 x - 4

How many terms are in each of the following algebraic expressions?
$6 x^{3} + 8 x^{2} - 4 x$
$15 x y^{3} + 21 x^{2} - 16$
$19 x^{2} + 8 x^{2} + 4 x y - 2$

State whether True or False.

Factorization of

6 x^{3} - 8 x^{2}

2 x^{2} (3 x - 4)

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Factorizing the group method 6x3+8x2+9xy+12y

Consider given the expression, ⇒6x3+8x2+9xy+12y ⇒2x2(3x+4)+3y(3x+4) ⇒(3x+4)(2x2+3y) Hence, this is the answer.

Factorizing the group method
$6 x^{3} + 8 x^{2} + 9 x y + 12 y$

Consider given the expression,

$\Rightarrow 6 x^{3} + 8 x^{2} + 9 x y + 12 y$

$\Rightarrow 2 x^{2} (3 x + 4) + 3 y (3 x + 4)$

$\Rightarrow (3 x + 4) (2 x^{2} + 3 y)$

Hence, this is the answer.