The number makes the expression a perfect square trinomial is 25.
Hence, we have v² - 10v + 25.
Given the expression; v² - 10v
To determine the number that makes the expression a perfect square trinomial, we divide the coefficient of v by 2 and square the result.
( -1 × 10/2 )²
(-1 × 5)²
( -5 )²
25
We add 25 to the expression to get a perfect square trinomial.
v² - 10v + 25.
Therefore, the number makes the expression a perfect square trinomial is 25.
Hence, we have v² - 10v + 25.
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