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If p = −2, q = −1 and r = 3, find the value of p3 + q3 + r3 + 3pqr - Mathematics

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प्रश्न

If p = −2, q = −1 and r = 3, find the value of p3 + q3 + r3 + 3pqr

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उत्तर

p3 + q3 + r3 + 3pqr
Substituting p = -2, q = -1 and r = 3 in the given expression:

\[( - 2 )^3 + ( - 1 )^3 + (3 )^3 + 3 \times ( - 2 \times - 1 \times 3)\]
\[ = ( - 2 \times - 2 \times - 2) + ( - 1 \times - 1 \times - 1) + (3 \times 3 \times 3) + 3 \times (6)\]
\[ = ( - 8) + ( - 1) + (27) + 18\]
\[ = 36\]

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अध्याय 8: Algebraic Expressions - Exercise 8B [पृष्ठ १३२]

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आरएस अग्रवाल Mathematics [English] Class 6
अध्याय 8 Algebraic Expressions
Exercise 8B | Q 3.4 | पृष्ठ १३२

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