Question

Example 3: Divide 4y3 + 8y2 - 6y by 4y using factor method
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Answer 1

Answer:

(x - 5)² = (x - 5)(x - 5)

Using the Distributive Property, we get:

= x(x - 5) - 5(x - 5)

= x(x) - x(5) + [-5(x - 5)]

= x(x) - x(5) + (-5)(x) - (-5)(5)

= x² - 5x + (-5x) - (-25)

= x² - 5x - 5x + 25

Collecting like-terms, the final result (product) is:

= x² - 10x + 25 is the quadratic trinomial that you get when you square the linear binomial (x - 5).