Identify the like terms in the algebraic expression $x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x + 4 x^{2}$

y^{2}

and

2 y z

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z^{2}

and

2 z x

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x^{2}

and

2 x y

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x^{2}

and

4 x^{2}

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Solution

The correct option is D $x^{2}$ and $4 x^{2}$
A term in an algebraic expression can be represented as:

We are given with an algebraic expression $x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x + 4 x^{2}$ .

Like terms in an algebraic expression contain same literal factors while unlike terms in an algebraic expression contain different literal factors.

In the given algebraic expression $x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x + 4 x^{2}$
Like terms: $x^{2}$ and $4 x^{2}$
Unlike terms: $y^{2}, z^{2}, 2 x y, 2 y z$ and $2 z x$

Like and unlike terms in the given algebraic expression $x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x + 4 x^{2}$ can be shown as:

Therefore, option (d.) is the correct answer.

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x^{2} + y^{2} + z^{2} - 2 x y + 2 y z - 2 z x

The expanded form of an expression is $x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x$ . Which of the following is the expression?

\frac{x^{2} + y^{2} - z^{2} + 2 x y}{x^{2} - y^{2} - z^{2} - 2 y z} .

(x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x)

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3 x + 4 x y - 2 y z + \frac{5}{2} z y

a b c + a b^{2} c + 2 a c b^{2} + 3 c^{2} a b + b^{2} a c - 2 a^{2} b c + 3 c a b^{2}

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