Question

factor.
$x^{2}-14x + 49$

Explanation:

Step1: Recognize the form

This is a quadratic of the form $a^2 - 2ab + b^2$. Here $a = x$ and $b = 7$ since $2ab=2\times x\times7 = 14x$ and $b^{2}=49$.

Step2: Apply the perfect - square formula

The perfect - square formula $a^{2}-2ab + b^{2}=(a - b)^{2}$. Substituting $a=x$ and $b = 7$, we get $(x - 7)^{2}$.

Answer:

$(x - 7)^{2}$