Find the value of following polynomial at m = 1, n = -1 and p = 2: m²n² + n²p² + p²m²

Solution:

The given polynomial is m²n² + n²p² + p²m²

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

m² = (1)² = 1

n² = (-1)² = 1

p² = (2)² = 4

m²n² = (1)(1) = 1

n²p² = (1)(4) = 4

p²m² = (4)(1) = 4

Now, m²n² + n²p² + p²m² = 1 + 4 + 4

= 1 + 8

= 9

Therefore, m²n² + n²p² + p²m² = 9

✦ Try This: Find the value of following polynomial at m = -2, n = -1 and p = 2: m²n² + n²p² + p²m²

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

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

Find the value of following polynomial at m = 1, n = -1 and p = 2: m²n² + n²p² + p²m²

Summary:

The value of the polynomial m²n² + n²p² + p²m² at m = 1, n = -1 and p = 2 is 9

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