To verify which expression is equivalent to (x-5)(x-3) using the Distributive Property, we need to multiply both terms of the second factor (x-3) by the first term (x) in the first factor and the second term (-5) in the first factor separately.
Using the Distributive Property, we get:
(x-5)(x-3) = x(x-3) - 5(x-3)
Expanding the expression further:
= x(x) - x(3) - 5(x) + 5(3)
Multiplying:
= x^2 - 3x - 5x + 15
Combining like terms:
= x^2 - 8x + 15
Therefore, the expression (x^2 - 8x + 15) is equivalent to (x - 5)(x - 3) using the Distributive Property.
se the Distributive Property to verify which expression is equivalent to (x−5)(x−3).
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