Identify and write the like terms in each of the following groups.
(i) $a^{2}, b^{2}, - 2 a^{2}, c^{2}, 4 a$

(a^{6}, 2 a^{2})

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(a^{2}, - 2 a^{2})

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(a^{3}, 2 a^{2})

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(a^{2}, 2 a^{3})

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Solution

The correct option is B $(a^{2}, - 2 a^{2})$
In $a^{2}, b^{2}, - 2 a^{2}, c^{2}, 4 a .$
$a^{2}$ and $- 2 a^{2}$ are like terms because $- 2 a^{2}$ is a factor of $a^{2}$
$B$ is correct.

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Similar questions

Q. 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}

Identify the like terms in the following:
(i) a² , b², −2a², c², 4a
(ii) 3x, 4xy, -yz,12zy
(iii) −2xy², x²y, 5y²x, x²z
(iv) abc, ab²c, acb², c²ab, b²ac, a²bc, cab²

The maximum value of the expression $y = 2 (a - x) (x + \sqrt{x^{2} + b^{2}})$ is

Q. Given

x = \frac{\sqrt{a^{2} + b^{2}} + \sqrt{a^{2} - b^{2}}}{\sqrt{a^{2} + b^{2}} - \sqrt{a^{2} - b^{2}}}

, use componendo and dividendo to prove that

a^{2} - b^{2} = \frac{2 a^{2}}{x^{2} + 1}

Simplify :

a^{2} + b^{2} - 2 a^{2} + c^{2} + 4 a

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Identify and write the like terms in each of the following groups.(i) a2,b2,−2a2,c2,4a

The correct option is B (a2,−2a2)In a2,b2,−2a2,c2,4a. a2 and −2a2 are like terms because −2a2 is a factor of a2 B is correct.

Identify and write the like terms in each of the following groups.
(i) $a^{2}, b^{2}, - 2 a^{2}, c^{2}, 4 a$

The correct option is B $(a^{2}, - 2 a^{2})$
In $a^{2}, b^{2}, - 2 a^{2}, c^{2}, 4 a .$
$a^{2}$ and $- 2 a^{2}$ are like terms because $- 2 a^{2}$ is a factor of $a^{2}$
$B$ is correct.