Question

Which of the following is the correct expansion of (x - 2)(x - 5)?

x2 + 7x + 10


x2 + 7x - 10


x2 - 7x - 10


x2 - 7x + 10

Answer 1

Use distributive property:

(a + b)(c + d) = ac + ad + bc + bd

(x - 2)(x - 5) = (x)(x) + (x)(-5) + (-2)(x) + (-2)(-5) = x² - 5x - 2x + 10

Answer: (x - 2)(x - 5) = x² - 7x + 10