Ответ:
1) 16x ^ 2 - (1 + 3x) ^ 2 = (4x) ^ 2 - (1 + 3x) ^ 2 = (4x - (1 + 3x))
(4x + (1 + 3x)) = (4x - 1 - 3x)(4x + 1 + 3x) = (x - 1)
(7x + 1)
2)(3y-5)^ 2 -16y^ 2 =(3y-5)^ 2 -(4y)^ 2 =(3y-5-4y)(3y-
5+4y)=(-y-5)(7y-5) ;
3) (49m^ 2 -(a+3m)^ 2 =(7m)^ 2 -(a+3m)^ 2 =(7m-
(a+3m))(7m+(a+3m))=(7m-a-3m)
(7m + a + 3m) = (4m - 4)(10m + a)
4)(5a-2b)^ 2 -25a^ 2 =(5a-2b)^ 2 -(5a)^ 2 =(5a-2b-5a)
(5a - 2b + 5a) = - 2b * (10a - 2b) .
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
1) 16x ^ 2 - (1 + 3x) ^ 2 = (4x) ^ 2 - (1 + 3x) ^ 2 = (4x - (1 + 3x))
(4x + (1 + 3x)) = (4x - 1 - 3x)(4x + 1 + 3x) = (x - 1)
(7x + 1)
2)(3y-5)^ 2 -16y^ 2 =(3y-5)^ 2 -(4y)^ 2 =(3y-5-4y)(3y-
5+4y)=(-y-5)(7y-5) ;
3) (49m^ 2 -(a+3m)^ 2 =(7m)^ 2 -(a+3m)^ 2 =(7m-
(a+3m))(7m+(a+3m))=(7m-a-3m)
(7m + a + 3m) = (4m - 4)(10m + a)
4)(5a-2b)^ 2 -25a^ 2 =(5a-2b)^ 2 -(5a)^ 2 =(5a-2b-5a)
(5a - 2b + 5a) = - 2b * (10a - 2b) .