Question 82 (iii)

Subtract

$2 a b^{2} c^{2} + 4 a^{2} b^{2} c - 5 a^{2} b c^{2} f r o m - 10 a^{2} b^{2} c + 4 a b^{2} c^{2} + 2 a^{2} b c^{2}$

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Solution

We have,
$2 a b^{2} c^{2} + 4 a^{2} b^{2} c - 5 a^{2} b c^{2} a n d - 10 a^{2} b^{2} c + 4 a b^{2} c^{2} + 2 a^{2} b c^{2}$
The required difference is given by
$(- 10 a^{2} b^{2} c + 4 a b^{2} c^{2} + 2 a^{2} b c^{2}) - (2 a b^{2} c^{2} + 4 a^{2} b^{2} c - 5 a^{2} b c^{2})$
$= - 10 a^{2} b^{2} c + 4 a b^{2} c^{2} + 2 a^{2} b c^{2} - 2 a b^{2} c^{2} - 4 a^{2} b^{2} c + 5 a^{2} b c^{2}$
$= (- 10 a^{2} b^{2} c - 4 a^{2} b^{2} c) + (4 a b^{2} c^{2} - 2 a b^{2} c^{2}) + (2 a^{2} b c^{2} + 5 a^{2} b c^{2})$
[grouping like terms]
$= - 14 a^{2} b^{2} c + 2 a b^{2} c^{2} + 7 a^{2} b c^{2}$

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Similar questions

Question 82 (iii)

Subtract

$2 a b^{2} c^{2} + 4 a^{2} b^{2} c - 5 a^{2} b c^{2} f r o m - 10 a^{2} b^{2} c + 4 a b^{2} c^{2} + 2 a^{2} b c^{2}$

Question 82 (i)

Subtract

$5 a^{2} b^{2} c^{2} f r o m - 7 a^{2} b^{2} c^{2}$

Question 82 (i)

Subtract

$5 a^{2} b^{2} c^{2} f r o m - 7 a^{2} b^{2} c^{2}$

Question 82 (ii)

Subtract

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

Subtract

$- 3 p^{2} + 3 p q + 3 p x$ from $3 p (- p - a - r)$

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