Subtract $4 x^{2} + 5 y^{2}$ from $3 x - 8 y^{2}$ .

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Solution

According to the question,
$3 x - 8 y^{2} - (4 x^{2} + 5 y^{2})$

$\Rightarrow 3 x - 8 y^{2} - 4 x^{2} - 5 y^{2}$

$\Rightarrow 3 x - 13 y^{2} - 4 x^{2}$

$\Rightarrow 3 x - 4 x^{2} - 13 y^{2}$

Hence, this is the answer.

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Question 82 (ii)

Subtract

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

(x^{2} - 2 x y + 3 y^{2})

(4 x^{2} - 5 x y + 8 y^{2})

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

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

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} + 2 x + 3)

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

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