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Addition and Subtraction of Algebraic Expression

iv Add : 5x2 ...

Question

Question 81 (iv)

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$5 x^{2} - 3 x y + 4 y^{2} - 9, 7 y^{2} + 5 x y - 2 x^{2} + 13$

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Solution

We have,
$5 x^{2} - 3 x y + 4 y^{2} - 9, 7 y^{2} + 5 x y - 2 x^{2} + 13$
$= 5 x^{2} - 3 x y + 4 y^{2} - 9 + 7 y^{2} + 5 x y - 2 x^{2} + 13$
$= (5 x^{2} - 2 x^{2}) + (- 3 x y + 5 x y) + (4 y^{2} + 7 y^{2}) + (- 9 + 13)$
[grouping like terms]
$= 3 x^{2} + 2 x y + 11 y^{2} + 4$

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Question 5

What should be subtracted from $3 x^{2} - 4 y^{2} + 5 x y + 20$ to obtain $- x^{2} - y^{2} + 6 x y + 20$ ?

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