State True or False:
On subtracting $6 a + 3$ from $a^{3} - 3 a^{2} + 4 a + 1$ , the answer is $a^{3} - 3 a^{2} - 2 a - 2$ .

True

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False

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Solution

The correct option is A True
\\ $W e c a n d i r e c t l y a d d t h e c o e f f i c i e n t s o f l i k e v a r i a b l e s, a^{3} - 3 a^{2} + 4 a + 1 - (6 a + 3) ⟹ (1) a^{3} + (- 3) a^{2} + (4 - 6) a + (1 - 3) = a^{3} - 3 a^{2} - 2 a - 2$

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Similar questions

State True or False:

On subtracting $a^{2} + a b + b^{2}$ from $4 a^{2} - 3 a b + 2 b^{2}$ , the answer is $3 a^{2} - 4 a b + b^{2}$ .

Suppose A is a non-singular matrix such that $A^{3} - 3 A^{2} + 6 A - I = 0. T h e n, A^{- 1}$ =___

(1 + a)^{3}

a - 3

a^{3} - 3 a^{2} + 4 a - 12

A = [\begin{matrix} 2 & 3 - 1 & 2 \end{matrix}]

A^{3} + 3 A^{2} - 4 A + 1

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