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Mathematics

The number of unlike terms in the expression

2x2y − 3y2z − 5yx2 + yz(x + y) + 7 is

  1. 3

  2. 4

  3. 5

  4. 6

Algebra Basics

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Answer

Let us simplify the given expression:

2x2y3y2z5yx2+yz(x+y)+7=2x2y5yx23y2z+yzx+y2z+7=2x2y5yx23y2z+y2z+yzx+7=3x2y2y2z+xyz+7\Rightarrow 2x^2y − 3y^2z − 5yx^2 + yz(x + y) + 7 \\[1em] = 2x^2y − 5yx^2 − 3y^2z + yzx + y^2z + 7 \\[1em] = 2x^2y − 5yx^2 − 3y^2z + y^2z + yzx + 7 \\[1em] = -3x^2y - 2y^2z + xyz + 7

The simplified expression has 4 unlike terms: -3x2y, -2y2z, xyz and 7.

Hence, option 2 is the correct option.

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