Subtraction of $6 m (m - 13) + 5 m (3 - m)$ from $9 m (m - 12)$ is

8 m^{2} - 45 m

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8 m^{2} + 45 m

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m (8 m - 45)

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m (8 m + 45)

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Solution

The correct option is A $8 m^{2} - 45 m$
$9 m (m - 12) - [6 m (m - 13) + 5 m (3 - m)]$
$= 9 m^{2} - 108 m - (6 m^{2} - 78 m + 15 m - 5 m^{2})$
$= 9 m^{2} - 108 m - (m^{2} - 63 m)$
$= 8 m^{2} - 45 m$

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Similar questions

Divide:
(i) $5 m^{3} - 30 m^{2} + 45 m$ by $5 m$
(ii) $8 x^{2} y^{2} - 6 x y^{2} + 10 x^{2} y^{3}$ by $2 x y$
(iii) $9 x^{2} y - 6 x y + 12 x y^{2}$ by $- 3 x y$
(iv) $12 x^{4} + 8 x^{3} - 6 x^{2}$ by $- 2 x^{2}$

Q. Solve:

(24 m^{4} - 16 m^{2}) + 8 m^{2}

Q. Simplify:

({8 m}^{2} - 9 m) \div 3 m

Q. Find the sum and product of the roots of the quadratic equation:

8 m^{2} - m = 2

An observer 2.25 m tall is 42.75 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45 $^{\circ}$ . What is the height of the chimney?

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Subtraction of 6m(m−13)+5m(3−m) from 9m(m−12) is

The correct option is A 8m2−45m9m(m−12)−[6m(m−13)+5m(3−m)]=9m2−108m−(6m2−78m+15m−5m2)=9m2−108m−(m2−63m)=8m2−45m

Subtraction of $6 m (m - 13) + 5 m (3 - m)$ from $9 m (m - 12)$ is

The correct option is A $8 m^{2} - 45 m$
$9 m (m - 12) - [6 m (m - 13) + 5 m (3 - m)]$
$= 9 m^{2} - 108 m - (6 m^{2} - 78 m + 15 m - 5 m^{2})$
$= 9 m^{2} - 108 m - (m^{2} - 63 m)$
$= 8 m^{2} - 45 m$