Question

Factorization of $x^2-10x+25$ is equal to

• A. $(x+5{)}^2$
• B. $(x-5{)}^2$
• C. $(x-5{)}^2$
• D. $(x+25{)}^2$

Answer 1

The correct option is B $(x-5{)}^2$

The expression $x^2-10x+25$ can be written as
$x^2-10x+25$
= $x^2-2\times 5x+25$
= $x^2-2\times 5x+5^2$
= $(x-5{)}^2$ [$(a-b{)}^2=a^2+b^2+2ab$]
Hence, the factorisation is
$(x-5{)}^2$