(x-5)²
x²-10x+25
To expand the expression (x-5)², you can use the formula for the square of a binomial, which is (a+b)² = a² + 2ab + b². By using this formula, you get:
(x-5)² = x² – 10x + 25
To see why this works, you can first rewrite the expression as (x-5) × (x-5). Then you can use the distributive property of multiplication to expand it:
(x-5) × (x-5) = x × (x-5) – 5 × (x-5)
= x² -5x -5x + 25
= x² -10x + 25
Therefore, the expanded form of (x-5)² is x² – 10x + 25.
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