Find the value of following polynomial at m = 1, n = -1 and p = 2: m³ + n³ + p³ - 3mnp

Solution:

The given polynomial is m³ + n³ + p³ - 3mnp

We have to find the value of the polynomial at m = 1, n = -1 and p = 2.

m³ = (1)³ = 1

n³ = (-1)³ = -1

p³ = (2)³ = 8

mnp = (1)(-1)(2) = -2

3mnp = 3(-2) = -6

Now, m³ + n³ + p³ - 3mnp = 1 + (-1) + 8 - (-6)

= 1 - 1 + 8 + 6

= 8 + 6

= 14

Therefore, m³ + n³ + p³ - 3mnp = 14

✦ Try This: Find the value of following polynomial at m = -2, n = -1 and p = 2: m³ + n³ + p³ - 3mnp

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 67 (e)

Find the value of following polynomial at m = 1, n = -1 and p = 2: m³ + n³ + p³ - 3mnp

Summary:

The value of the polynomial m³ + n³ + p³ - 3mnp at m = 1, n = -1 and p = 2 is 14

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