Chapter 5: Q. 5.14 (page 492)

$Find the sum: (2 x^{2} - 3 x y - 2 y^{2}) + (5 x^{2} - 3 x y)$

Short Answer

Expert verified

The sum of the given polynomials is $7 x^{2} - 6 x y - 2 y^{2}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialexpressionis \\ (2 x^{2} - 3 x y - 2 y^{2}) + (5 x^{2} - 3 x y) \\ Wehavetofindthesum. \end{array}$

Step 2. Distribute and identify like terms

$\begin{array}{l} Wehave (2 x^{2} - 3 x y - 2 y^{2}) + (5 x^{2} - 3 x y) \\ Distributeandidentifyliketermsandthenrearrangetheterms \\ \Rightarrow (2 x^{2} - 3 x y - 2 y^{2}) + (5 x^{2} - 3 x y) = \underline{2 x^{2}} - \underline{\underline{3 x y}} - 2 y^{2} + \underline{5 x^{2}} - \underline{\underline{3 x y}} \\ = (2 + 5) x^{2} + (- 3 - 3) x y - 2 y^{2} \\ = 7 x^{2} - 6 x y - 2 y^{2} \end{array}$

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$Find the sum: (2 x^{2} - 3 x y - 2 y^{2}) + (5 x^{2} - 3 x y)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

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Find the sum:2x2-3xy-2y2+5x2-3xy

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

One App. One Place for Learning.

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$Find the sum: (2 x^{2} - 3 x y - 2 y^{2}) + (5 x^{2} - 3 x y)$