State True or False:
On subtracting $- 3 x^{3} + 4 x^{2} - 5 x + 6$ from $3 x^{3} - 4 x^{2} + 5 x - 6$ , the answer is $6 x^{3} - 8 x^{2} + 10 x - 12$ .

True

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False

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Solution

The correct option is A True
$W e c a n d i r e c t l y a d d t h e c o e f f i c i e n t s o f l i k e v a r i a b l e s, 3 x^{3} - 4 x^{2} + 5 x - 6 - ({- 3 x}^{3} + 4 x - 5 x + 6) ⟹ (3 + 3) x^{3} + (- 4 - 4) x^{2} + (5 + 5) x + (- 6 - 6) = 6 x^{3} - 8 x^{2} + 10 x - 12$

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