(x-5)²
To find the expanded form of (x-5)², we need to multiply the expression (x-5) by itself
To find the expanded form of (x-5)², we need to multiply the expression (x-5) by itself.
Using the distributive property, we have:
(x-5)² = (x-5)(x-5)
To simplify this, we can use the FOIL method, which stands for:
– First: multiply the first terms of each binomial.
– Outer: multiply the outer terms of each binomial.
– Inner: multiply the inner terms of each binomial.
– Last: multiply the last terms of each binomial.
Applying the FOIL method, we get:
(x-5)(x-5) = x*x + x*(-5) + (-5)*x + (-5)*(-5)
= x² – 5x – 5x + 25
= x² – 10x + 25
Therefore, the expanded form of (x-5)² is x² – 10x + 25.
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