Evaluate Expression with Given Variables
We are asked to find the value of the expression $a^{3} + b^{3} + c^{3}$ given specific values for the variables $a$, $b$, and $c$.
Given Values
- $a = 9$
- $b = -5$
- $c = -4$
Expression Substitution
The expression we need to evaluate is $a^{3} + b^{3} + c^{3}$. Substitute the given values into the expression:
$ (9)^{3} + (-5)^{3} + (-4)^{3} $
Calculate Cubic Terms
Calculate the value of each term separately:
- $a^{3} = (9)^{3} = 9 \times 9 \times 9 = 729$
- $b^{3} = (-5)^{3} = (-5) \times (-5) \times (-5) = -125$
- $c^{3} = (-4)^{3} = (-4) \times (-4) \times (-4) = -64$
Sum the Terms
Add the calculated values together:
$ 729 + (-125) + (-64) $
$ 729 - 125 - 64 $
First, subtract 125 from 729:
$ 729 - 125 = 604 $
Next, subtract 64 from the result:
$ 604 - 64 = 540 $
Final Value
The value of the expression $a^{3} + b^{3} + c^{3}$ when $a = 9$, $b = -5$, and $c = -4$ is $540$.
Similar Questions
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Then the value of $\frac{3x}{2x^2 + 2 - 5x}$ will be: - If $3a + 4b = 2$ and $ab = \frac{1}{36}$, then $27a^3 + 64b^3$ is:
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Important Questions from Algebra
If 2x – y = 2 and xy = \(\frac{3}{2}\) , then what is the value of x 3– \(\frac{{{y^3}}}{8}\) ?
If (10a 3+ 4b 3) : (11a 3- 15b 3) = 7 : 5, then (3a + 5b) : (9a - 2b) =?
- If 4sin 2 θ = 3(1+ cos θ), 0° < θ < 90°, then what is the value of (2tan θ + 4sin θ - sec θ)?
The value of:
\(\frac{{\sin 23^\circ \cos 67^\circ + \sec52^\circ \sin38^\circ + \cos 23^\circ \sin 67^\circ + \rm cosec52^\circ \cos 38^\circ }}{{\rm cose{c^2}20^\circ - {{\tan }^2}70^\circ }}\)
If (x + y) 3+ 27(x - y) 3= (Ax - 2y)(Bx 2+ Cxy + 13y 2), then the value of A - B - C is:
