Factorizing the group method
iv. $15 x^{4} + 10 x^{2} y^{2} + 12 x^{2} y + 8 y^{3}$

Open in App

Solution

Consider the given expression,

$\Rightarrow 15 x^{4} + 10 x^{2} y^{2} + 12 x^{2} y + 8 y^{3}$

$\Rightarrow 5 x^{2} (3 x^{2} + 2 y^{2}) + 4 y (3 x^{2} + 2 y^{2})$

$\Rightarrow (3 x^{2} + 2 y^{2}) (5 x^{2} + 4 y^{3})$

Hence, this is the answer.

..

Suggest Corrections

Similar questions

6 x^{3} y - 12 x^{2} y + 15 x^{4}

Find the cube of $x + 2 y$ .

5 m^{2} n - 10 m n^{2} + 12 m - 24 n

If $x = 3$ and $y = 5$ , find the value of $8 x^{3} - 12 x^{2} y + 6 x y^{2} - 8 y^{3}$ .

Factorize $8 x^{3} + y^{3} + 12 x^{2} y + 6 x y^{2}$

Join BYJU'S Learning Program