Combine the like terms and simplify.
$9 x^{2} y - 4 x y - 3 x y^{2} + 7 x y^{2} - x y + 6 x y^{2} + 3 x y$

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Solution

Combining the like terms we get :
$= 9 x^{2} y + 6 x^{2} y - 4 x y - x y + 3 x y - 3 x y^{2} + 7 x y^{2} = 15 x^{2} y - 5 x y + 3 x y + 4 x y^{2} = 15 x^{2} y - 2 x y + 4 x y^{2}$

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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.

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

3 x - 2 y - x y - (x - y + x y) + 3 x y + y - x

x (2 x + 3 y - z) + y^{2} (3 x + z - 2 y) - z (2 x + 3 z - y) .

Simplify the following : $7 x y + 4 x y - 3 x y - 11 x y + 5 x y - x y$

Combine the like terms and simplify :

9m²n + 4mn - 3mn -10 + 3m²n - 16 + 8mn -2

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