Find the number of terms in the following expressions- i 3-2-2-2-2-5ii -iii 3-2-5-2-

(i) 3𝑥^2𝑦 2𝑦^2𝑥 𝑧^2𝑥+5 In this expression, there are 4 terms. (ii) 𝑥𝑦+𝑦𝑧+𝑧𝑥 In this expression, there are 3 terms. (iii) 3𝑥^2𝑦+5𝑦 𝑥^2𝑦 As nbsp;3𝑥^2𝑦, and 𝑥 ...

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Standard VIII

Mathematics

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Question

Find the number of terms in the following expressions:

(i) $3 x^{2} y - 2 y^{2} x - z^{2} x + 5$
(ii) $x y + y z + z x$
(iii) $3 x^{2} y + 5 y - x^{2} y$

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Solution

(i) $3 x^{2} y - 2 y^{2} x - z^{2} x + 5$
In this expression, there are 4 terms.

(ii) $x y + y z + z x$
In this expression, there are 3 terms.

(iii) $3 x^{2} y + 5 y - x^{2} y$
As $3 x^{2} y, and - x^{2} y$ are like terms, after simplifying the expression we get the number of the terms as 2.

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Find the number of terms in the following expressions: (i) 3x2y−2y2x−z2x+5 (ii) xy+yz+zx (iii) 3x2y+5y−x2y

(i) 3x2y−2y2x−z2x+5 In this expression, there are 4 terms. (ii) xy+yz+zx In this expression, there are 3 terms. (iii) 3x2y+5y−x2y As 3x2y, and −x2y are like terms, after simplifying the expression we get the number of the terms as 2.

Find the number of terms in the following expressions:

(i) $3 x^{2} y - 2 y^{2} x - z^{2} x + 5$
(ii) $x y + y z + z x$
(iii) $3 x^{2} y + 5 y - x^{2} y$

(i) $3 x^{2} y - 2 y^{2} x - z^{2} x + 5$
In this expression, there are 4 terms.

(ii) $x y + y z + z x$
In this expression, there are 3 terms.

(iii) $3 x^{2} y + 5 y - x^{2} y$
As $3 x^{2} y, and - x^{2} y$ are like terms, after simplifying the expression we get the number of the terms as 2.