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Addition and Subtraction of Algebraic Expressions

What is the s...

Question

What is the sum of $x^{3} + 4 x y + 3 y^{2}$ and $3 x^{2} + 5 x y$ ?

A

$x^{3} + 4 x y + 3 y^{2} x^{2} + 5 x y$

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B

$x^{3} + 9 x y + 3 y^{2} + 3 x^{2}$

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C

$3 x^{3} + 9 x y + 3 y^{2}$

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D

None of the above

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Solution

The correct option is B
$x^{3} + 9 x y + 3 y^{2} + 3 x^{2}$

$x^{3} + 4 x y + 3 y^{2}$
$+ + 5 x y + 3 x^{2}$
$- - - - - - - - -$
$= x^{3} + 9 x y + 3 y^{2} + 3 x^{2}$

We add the like terms $4 x y$ and $5 x y$ together and keep the rest unlike terms as it is.

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Similar questions

Q. What is the sum of

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

3 x^{2} + 5 x y

In the expressions $x^{3} + 4 x y + 3 y^{2}$ and $3 x^{2} + 5 x y$ , which are the like terms?

Q. The expressions

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

(3 x^{2} + 5 x y)

have no like terms.

Q. In the expressions

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

3 x^{2} + 5 x y

, which are the like terms?

Q. Form the sum of

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

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

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

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