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Multiplication of Polynomials

Question 81 i...

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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Similar questions

Question 81 (iv)

Add :

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

3 x^{2} + 2^{2}, - x^{2} - 4 y^{2} + 4 x y

6 x y + 2 x^{2} - 3 y^{2}

- 5 x^{2} + 2 y^{2} - 3 x y

(x) (2 x + 3 y - 4 z)

(p, q)

2 x^{2} + 3 x y + 4 y^{2} + x + 18 y + 25 = 0

2 x^{2} + 3 x y + 4 y^{2} = 1

(2 x^{2} - 3 y^{2}) + (5 x^{2} + 6 x^{2}) + (- 3 x^{2} - 4 y^{2})

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