Question

we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression

Answer 1

Answer:

This question is asking for the pattern , not the factoring of it...

this is the $(a+b)^{2} pattern = a^{2} + 2ab + b^{2}$

Step-by-step explanation:

Answer 2

Answer:

(x - 8)²

Step-by-step explanation:

This is in the form of a perfect square, that is

(x + b)² = x² + 2bx + b²

with x = x - 3 and by comparison of like terms

2b = - 10 ⇒ b = - 5

Then

(x + b)²

= (x - 3 - 5)²

= (x - 8)² ← in factored form