Question 57 (e)

Add the following expression:

$x^{3} y^{2} + x^{2} y^{3} + 3 y^{4} a n d x^{4} + 3 x^{2} y^{3} + 4 y^{4}$

Open in App

Solution

We have,
$(x^{3} y^{2} + x^{2} y^{3} + 3 y^{4}) + (x^{4} + 3 x^{2} y^{3} + 4 y^{4}) = x^{3} y^{2} + x^{2} y^{3} + 3 y^{4} + x^{4} + 3 x^{2} y^{3} + 4 y^{4}$
On combining the like terms.
$= x^{3} y^{2} + x^{2} y^{3} + 3 x^{2} y^{3} + x^{4} + 3 y^{4} + 4 y^{4} = x^{4} + 7 y^{4} + x^{3} y^{2} + 4 x^{2} y^{3}$

Suggest Corrections

Similar questions

Question 57 (f)

Add the following expression:

$p^{2} q r + p q^{2} r + p q r^{2} a n d - 3 p q^{2} r - 2 p q r^{2}$

Question 57 (b)

Add the following expression:

$x^{3} - x^{2} y - x y^{2} - y^{3}$ and $x^{3} - 2 x^{2} y + 3 x y^{2} + 4 y$

x^{4} + 4 y^{4}

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

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program