Find the value of the following polynomial at a = - 2 and b = 3: a² + 2ab + b²

Solution:

The given polynomial is a² + 2ab + b²

We have to find the value of the polynomial at a = -2 and b = 3.

a² = (-2)² = 4

2ab = 2(-2)(3) = 6(-2) = -12

b² = (3)² = 9

Now, a² + 2ab + b² = 4 - 12 + 9

= (4 + 9) - 12

= 13 - 12

= 1

Therefore, a² + 2ab + b² = 1

✦ Try This: Find the value of the following polynomial at a = 3 and b = -3: a² + 2ab + b²

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

NCERT Exemplar Class 7 Maths Chapter 10 Problem 66 (a)

Find the value of the following polynomial at a = - 2 and b = 3: a² + 2ab + b²

Summary:

The value of the polynomial a² + 2ab + b² at a = -2 and b = 3 is 1

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