Simplify the given expression: $(3 x^{2} y^{2} + 1) (4 x y - 6 x y^{2})$

Open in App

Solution

We need to simplify the expression $Z = (3 x^{2} y^{2} + 1) (4 x y - 6 x y^{2})$
It can be simplified as $Z = 3 x^{2} y^{2} (4 x y - 6 x y^{2}) + 1 (4 x y - 6 x y^{2})$
$= 12 x^{3} y^{3} - 18 x^{3} y^{4} + 4 x y - 6 x y^{2}$
As their are no common terms, this is the simplified answer.

Suggest Corrections

Similar questions

Question 56 (b)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

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

(\frac{3 x^{2} y^{2}}{a x y^{4}})^{2}

1 : x^{2} - 3 x^{2} y^{2} + x^{2} y^{2} - 2 x^{2} - 3 y^{2} + 12 x^{2} y^{2}

2 : (x^{2} - 2 x^{2}) + (- 3 x^{2} y^{2} + x^{2} y^{2} + 12 x^{2} y^{2}) - 3 y^{2}

3 : (- x^{2} + 10 x^{2} y^{2} - 3 y^{2})

x^{2} (1 - 3 y^{2}) + (x y^{2} - 2 x) - 3 y (y - 4 x^{2} y)

(3 x^{2} + 2 x) (2 x^{2} + 3)

Join BYJU'S Learning Program