Find the product of (x − 5)2
The product is:
(x − 5)2 = (x − 5)(x − 5)
= x(x − 5) − 5(x − 5)
= x^2 − 5x − 5x + 25
= x^2 − 10x + 25
Therefore, the product of (x − 5)2 is x^2 − 10x + 25.
To find the product of (x − 5)², we can use the formula for the square of a binomial, which is:
(a - b)² = a² - 2ab + b².
In this case, a = x and b = 5, so we have:
(x - 5)² = x² - 2(x)(5) + 5².
Simplifying further:
(x - 5)² = x² - 10x + 25.
Therefore, the product of (x - 5)² is x² - 10x + 25.