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Formation of Algebraic Expressions

If a = -2, ...

Question

If $a = - 2$ , find the value of $a^{3} - 5 (a - 5)$ .

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Solution

If $a = - 2$
Then $a^{3} - 5 (a - 5) = (- 2)^{3} - 5 (- 2 - 5) = 27$

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Q. Enter the value of A.

5A + A3 = 64

A = [\begin{matrix} 3 & - 5 \\ - 4 & 2 \end{matrix}]

, then find A² − 5A − 14I. Hence, obtain A³.

\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}

, then find the value of a : b.

a - \frac{1}{a} = 3 \sqrt{2}

, If find the value of

a^{3} - \frac{1}{a^{3}}

5 \sqrt{5} \times 5^{3} \div 5^{- \frac{3}{2}} = 5^{a + 2}

then the value of

a

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