# The factors of a^{2} -2ab + b^{2} are (a + b) and (a + b). Is the given statement true or false

**Solution:**

The statement ‘The factors of a^{2} -2ab + b^{2} are (a + b) and (a + b)’ is false.

Given, a^{2} - 2ab + b^{2}

=a^{2} - ab - ab + b^{2}

= a(a - b) - b(a - b)

= (a - b) (a - b)

= (a - b)^{2}

∴ The factors of a^{2} -2ab + b^{2} are (a - b) and (a - b).

**✦ Try This: **State true or false: The factors of a^{2} -2ab + b^{2} are (a - b) and (a - b)

The given statement is true,

Given, a^{2} - 2ab + b^{2}

= a^{2} - ab - ab + b^{2}

= a(a - b) - b(a - b)

= (a - b) (a - b)

= (a - b)^{2}

∴ The factors of a^{2} -2ab + b^{2} are (a - b) and (a - b).

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 9

**NCERT Exemplar Class 8 Maths Chapter 7 Problem 66**

## The factors of a^{2} -2ab + b^{2} are (a + b) and (a + b). Is the given statement true or false

**Summary: **

The statement ‘The factors of a^{2} -2ab + b^{2} are (a + b) and (a + b)’ is false

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