Answer:
125/64
Step-by-step explanation:
=(2+2+1)³/(1+2+1)³
=5³/4³
=125/64
The value of the expression after substituting the given values of a, b and c is
[tex] \frac{125}{64} [/tex]
Consider the given equation;
[tex] \frac{ {(ab - bc - ca)}^{3} }{ {(a + b - c)}^{3} } [/tex]
Substituting the given values of a, b and c in the equation, we get;
[tex] \frac{ {((1 \times 2) - (2 \times - 1) - ( - 1 \times 1))}^{3} }{ {(1 + 2 - ( - 1))}^{3} } [/tex]
We have to solve the equations in the bracket first according to the BODMAS rule.
BODMAS stands for Bracket Open Division Multiplication Addition Subtraction.
According to this rule, following steps has to be performed.
Answer obtained without using the formula are considered incorrect and inconsistent.
[tex] \frac{ {(2 - ( - 2) - ( - 1))}^{3} }{ {(1 + 2 - ( - 1))}^{3} } [/tex]
[tex] \frac{ {(2 + 2 + 1)}^{3} }{ {(1 + 2 + 1)}^{3} } [/tex]
[tex] \frac{ {5}^{3} }{ {4}^{3} }[/tex]
Hence the answer of the question is 125/64.
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Answers & Comments
Answer:
125/64
Step-by-step explanation:
=(2+2+1)³/(1+2+1)³
=5³/4³
=125/64
The value of the expression after substituting the given values of a, b and c is
[tex] \frac{125}{64} [/tex]
Step-by-step explanation:
Consider the given equation;
[tex] \frac{ {(ab - bc - ca)}^{3} }{ {(a + b - c)}^{3} } [/tex]
Substituting the given values of a, b and c in the equation, we get;
[tex] \frac{ {((1 \times 2) - (2 \times - 1) - ( - 1 \times 1))}^{3} }{ {(1 + 2 - ( - 1))}^{3} } [/tex]
We have to solve the equations in the bracket first according to the BODMAS rule.
BODMAS stands for Bracket Open Division Multiplication Addition Subtraction.
According to this rule, following steps has to be performed.
Answer obtained without using the formula are considered incorrect and inconsistent.
[tex] \frac{ {(2 - ( - 2) - ( - 1))}^{3} }{ {(1 + 2 - ( - 1))}^{3} } [/tex]
[tex] \frac{ {(2 + 2 + 1)}^{3} }{ {(1 + 2 + 1)}^{3} } [/tex]
[tex] \frac{ {5}^{3} }{ {4}^{3} }[/tex]
[tex] \frac{125}{64} [/tex]
Hence the answer of the question is 125/64.