Identify the like terms for the given term from the group-16x2y2- 4xy2 - -x2y - 3x3 - -y2x2 - - 10x2y2

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Standard XII

Mathematics

General Solutions of (sin theta)^2 = (sin alpha)^2 , (cos theta)^2 = (cos alpha)^2 , (tan theta)^2 = (tan alpha)^2

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Question

Identify the like terms for the given term from the group.
$- 16 x^{2} y^{2} \to 4 x y^{2}, - x^{2} y, 3 x^{3}, - y^{2} x^{2}, - 10 x^{2} y^{2}$

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Solution

Like terms are those terms having same literal factors while their numerical factors might be different.
So, like terms for $- 16 x^{2} y^{2}$ are $- y^{2} x^{2}, - 10 x^{2} y^{2}$ .

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Similar questions

Q. From each of the following groups of terms, form groups of like terms.

(1) 5x, –7y, 6y, –3m, 2z, m, –y , 5z, −8x
(2) 4x², –7y³, –10x², – y³, 5y³
(3) 2x²yz, xyz², xzy, –6xyz², –xyz, 7yzx²

In the given expression,
$x^{3} y + 4 x^{2} y^{2} + 3 x y^{3} + 7 x^{2} y^{2} + 3 x^{3} + 4 y^{2} + 6 x y + 7 x^{3} y + 8 y^{2}$
Which of the following are like terms?

(x + y) + (x^{2} + x y + y^{2}) + (x^{3} + x^{2} y + x y^{2} + y^{3}) + . . . n

terms

=

Subtract :
$- x^{2} + y^{2} - x^{2} y + 5 x y^{2}$ from $x^{2} + x^{2} y - 5 x y^{2} - y^{2}$

Q. Find

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

n

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Identify the like terms for the given term from the group.-16x2y2→4xy2,-x2y,3x3,-y2x2,-10x2y2

Like terms are those terms having same literal factors while their numerical factors might be different.So, like terms for -16x2y2 are -y2x2,-10x2y2.

Identify the like terms for the given term from the group.
$- 16 x^{2} y^{2} \to 4 x y^{2}, - x^{2} y, 3 x^{3}, - y^{2} x^{2}, - 10 x^{2} y^{2}$

Like terms are those terms having same literal factors while their numerical factors might be different.
So, like terms for $- 16 x^{2} y^{2}$ are $- y^{2} x^{2}, - 10 x^{2} y^{2}$ .