1) (m² - 2m - 1)(m² - 2m + 1) = (m² - 2m - 1)(m - 1)² = (m² - 2m - 1)(m - 1)(m - 1)
2) 16-(m^2+4m)^2 = (4 - m² - 4m)(4 + m² + 4m) = (4 - m² - 4m)(2 + m)² =
= (4 - m² - 4m)(2 + m)(2 + m)
4)64х^2+48ху+9у^2-144 = (8x + 3y)² - 12² = (8x + 3y - 12)(8x + 3y + 12)
5) с^2-a^2+22a-121 = c² - (a - 11)² = (c - a + 11)(c + a - 11)
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
1) (m² - 2m - 1)(m² - 2m + 1) = (m² - 2m - 1)(m - 1)² = (m² - 2m - 1)(m - 1)(m - 1)
2) 16-(m^2+4m)^2 = (4 - m² - 4m)(4 + m² + 4m) = (4 - m² - 4m)(2 + m)² =
= (4 - m² - 4m)(2 + m)(2 + m)
4)64х^2+48ху+9у^2-144 = (8x + 3y)² - 12² = (8x + 3y - 12)(8x + 3y + 12)
5) с^2-a^2+22a-121 = c² - (a - 11)² = (c - a + 11)(c + a - 11)