The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if the value of $x = 2$ and $y = 3$ is ___.

Open in App

Solution

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

$= 12 x^{3} y - 15 x^{2} y + 20 x y^{3} - 25 y^{3}$

$= 12 (2)^{3} (3) - 15 (2)^{2} (3) + 20 (2) (3)^{3} - 25 (3)^{3}$

$= 12 (8) (3) - 15 (4) (3) + 20 (2) (27) - 25 (27)$

$= 288 - 180 + 1080 - 675 = 513$

Suggest Corrections

Similar questions

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if $x = 2$ and $y = 3$ is $513$ .

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , when the value of $x = 1$ and $y = 2$ is $- 46$ .

The value of $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ , if the value of $x = 2$ and $y = 3$ , is $513$ .

Simplify $(3 x^{2} + 5 y^{2}) (4 x y - 5 y)$ .

3 x^{2} - 5 y - 2

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

Join BYJU'S Learning Program