# Find and correct the errors in the statement: (z + 5)^{2} = z^{2} + 25

**Solution:**

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Given,

(z + 5)^{2} = z^{2} + 25

Solving LHS we get,

(z + 5)^{2}

= (z)^{2} + 2(z)(5) + (5)^{2 }[Using identity (a + b)^{2} = a^{2} + 2ab + b^{2}]

= z^{2} + 10z + 25

But, RHS is given as z^{2} + 25

Thus, L.H.S ≠ R.H.S

The correct statement is (z + 5)^{2} = z^{2} + 10z + 25

**☛ Check: **Class 8 Maths NCERT Solutions Chapter 14

**Video Solution:**

## Find and correct the errors in the statement: (z + 5)² = z² + 25

Class 8 Maths NCERT Solutions Chapter 14 Exercise 14.4 Question 12

**Summary:**

Find and correct the errors in the statement: (z + 5)^{2} = z^{2} + 25. The correct statement is (z + 5)^{2} = z^{2} + 10z + 25

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