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Find the Sum of 2x2 + Xy − Y2, − X2 + 2xy + 3y2 and 3x2 − 10xy + 4y2. - Mathematics

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Question

Find the sum of 2x2 + xy − y2, − x2 + 2xy + 3y2 and 3x2 − 10xy + 4y2.

Sum

Solution

(2x2 + xy − y2) + (− x2 + 2xy + 3y2) + (3x2 − 10xy + 4y2)

= 2x2 + xy − y2 − x2 + 2xy + 3y2 + 3x2 − 10xy + 4y2

= 2x2 + 3x2 − x2 + xy + 2xy − 10xy + 3y2 + 4y2 − y2

= 5x2 − x2 + 3xy − 10xy + 7y2 − y2

= 4x2 − 7xy + 6y2

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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 1.2
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