Question

разложите на множители:а) 169с^2-9ь^2; б) 1/4х^4-16у^10; в)(4-у)^2-9; г) (5с-3)^2-(4-3с)^2

Answer 1

169с² - 9b²=(13c+3b)(13c-3b)
1/4 x^4 - 16y^10=(1/2 x² - 4у^5)(1/2 x²+4y^5)
(4-y)² - 9=(4-y-3)(4-y+3)=(1-y)(7-y)
(5c-3)² - (4-3c)²=(5c-3-4+3c)(5c-3+4-3c)=(8c-7)(2c+1)