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# If a = 2, b = -2, find the value of:

(i) a^{2} + b^{2}

(ii) a^{2} + ab + b^{2}

(iii) a^{2} - b^{2}

**Solution:**

Let us find the value of given expressions by substituting the given value of a and b.

(i) a^{2} + b^{2}

= (2)^{2} + (-2)^{2}

= 4 + 4

= 8 is the required value.

(ii) a^{2} + ab + b^{2}

= (2)^{2} + 2 × (-2) + (-2)^{2}

= 4 - 4 + 4

= 4 is the required value.

(iii) a^{2} - b^{2}

= (2)^{2} - (-2)^{2}

= 4 - 4

= 0 is the required value.

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

**Video Solution:**

## If a = 2, b = -2, find the value of: (i) a² + b²^{ }(ii) a² + ab + b²^{ }(iii) a² - b²

Maths NCERT Solutions Class 7 Chapter 12 Exercise 12.3 Question 4

**Summary:**

If a = 2, b = -2, the value of: (i) a^{2} + b^{2} = 8 (ii) a^{2} + ab + b^{2} = 4 (iii) a^{2} - b^{2} = 0

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