Identify the like terms in the following algebraic expressions-i a 2- b 2-2 a 2- c 2-4 aii 3 x-4 x y-2 y z-52 z yiii abc-ab2c-2acb2-3c2ab-b2ac-2a2bc-3cab2

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Standard VII

Mathematics

Algebraic Expression

Identify the ...

Question

Identify the like terms in the following algebraic expressions:
(i) $a^{2} + b^{2} - 2 a^{2} + c^{2} + 4 a$
(ii) $3 x + 4 x y - 2 y z + \frac{5}{2} z y$
(iii) $a b c + a b^{2} c + 2 a c b^{2} + 3 c^{2} a b + b^{2} a c - 2 a^{2} b c + 3 c a b^{2}$

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Solution

The like terms in the given algebraic expressions are as follows.
(i) The like terms in the given algebraic expression are a² and -2a².

(ii) The like terms in the given algebraic expression are $- 2 yz and \frac{5}{2} zy$ .
(iii) The like terms in the given algebraic expression are ab²c, 2acb², b²ac and 3cab².

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Identify the like terms in the following:
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(iv) abc, ab²c, acb², c²ab, b²ac, a²bc, cab²

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Q. 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}

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(ii)

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Identify the like terms in the following algebraic expressions: (i) a2+b2-2a2+c2+4a (ii) 3x+4xy-2yz+52zy (iii) abc+ab2c+2acb2+3c2ab+b2ac-2a2bc+3cab2

The like terms in the given algebraic expressions are as follows. (i) The like terms in the given algebraic expression are a2 and -2a2. (ii) The like terms in the given algebraic expression are -2yz and 52zy. (iii) The like terms in the given algebraic expression are ab2c, 2acb2, b2ac and 3cab2.

Identify the like terms in the following algebraic expressions:
(i) $a^{2} + b^{2} - 2 a^{2} + c^{2} + 4 a$
(ii) $3 x + 4 x y - 2 y z + \frac{5}{2} z y$
(iii) $a b c + a b^{2} c + 2 a c b^{2} + 3 c^{2} a b + b^{2} a c - 2 a^{2} b c + 3 c a b^{2}$