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Add the Following Expression: − X2 − 3xy + 3y2 + 8, 3x2 − 5y2 − 3 + 4xy and − 6xy + 2x2 − 2 + Y2 - Mathematics

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Question

Add the following expression:

− x2 − 3xy + 3y2 + 8, 3x2 − 5y2 − 3 + 4xy and − 6xy + 2x2 − 2 + y2

Sum

Solution

(− x2 − 3xy + 3y2 + 8) + (3x2 − 5y2 − 3 + 4xy) + (− 6xy + 2x2 − 2 + y2)

= − x2 − 3xy + 3y2 + 8 + 3x2 − 5y2 − 3 + 4xy − 6xy + 2x2 − 2 + y2

= − x2 + 3x2 + 2x2 − 3xy − 6xy + 4xy + 3y2 + y2 − 5y2 + 8 − 3 − 2

= 4x2 − 5xy − y2 + 3

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Algebra Terminology - Literal Numbers, Terms, Expressions, Factor, Coefficient, Polynomials, Degree, like and Unlike Terms
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Chapter 19: Fundamental Operations (Related to Algebraic Expressions) - Exercise 19 (B)

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Selina Mathematics [English] Class 6
Chapter 19 Fundamental Operations (Related to Algebraic Expressions)
Exercise 19 (B) | Q 2.2
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