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Multiplication of Polynomials

Question 82 i...

Question

Question 82 (ii)

Subtract

$6 x^{2} - 4 x y + 5 y^{2} f r o m 8 y^{2} + 6 x y - 3 x^{2}$

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Solution

We have, $6 x^{2} - 4 x y + 5 y^{2} a n d 8 y^{2} + 6 x y - 3 x^{2}$
The required difference is given by $(8 y^{2} + 6 x y - 3 x^{2}) - (6 x^{2} - 4 x y + 5 y^{2})$
$= 8 y^{2} + 6 x y - 3 x^{2} - 6 x^{2} + 4 x y - 5 y^{2}$
$= (8 y^{2} - 5 y^{2}) + (6 x y + 4 x y) - (3 x^{2} + 6 x^{2}) = 3 y^{2} + 10 x y - 9 x^{2}$

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Question 82 (ii)

Subtract

$6 x^{2} - 4 x y + 5 y^{2} f r o m 8 y^{2} + 6 x y - 3 x^{2}$

4 x^{2} + 5 y^{2}

3 x - 8 y^{2}

Q. State whether the following statement is true or false.

(9 x^{4} + 3 x^{3} y + 16 x^{2} y^{2}) + 24 x y^{3} + 32 y^{4}

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

3 x^{2} - 4 x y + 8 y^{2}

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

subtracted from

3 x - x y + 8 y^{2}

8 - 3 (x + 2) = - 10

7 (2 y - 3) = 3 + 8 y;

find the value of

: 3 x^{2} - 4 x y - 5 y^{2} .

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Multiplication of Polynomials

Standard VIII Mathematics

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