Ответ:
Объяснение:
A1: a) (x-5)(x+5) = x^2 - 25
б) (a+3b)(a-3b) = a^2 - 9b^2
в) (5y-x)(5y+x) = 25y^2 - x^2
г) (b+7)(b-7) = b^2 - 49
A2:
a) (a-6)(a+6) + 36 = a^2 - 36 + 36 = a^2
б) y^2 + (2x - y) (2x + y) = y^2 + 4x^2 - y^2 = 4x^2
A3:
a) 36-25a^2 = (6 - 5a)(6 + 5a)
б) 9x^2 - 4a^2 = (3x-2a)(3x+2a)
в) 1 - 16b^2 = (1 - 4b)(1 + 4b)
г) 49a^2 - 100 = (7a - 10)(7a + 10)
B1:
a) (m+n)^2 - p^2 = ((m+n) - p)* ((m+n)+p)
б) 9a^2 - (a+2b)^2 = (3a - (a+2b))*(3a+(a+2b))
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Answers & Comments
Ответ:
Объяснение:
A1: a) (x-5)(x+5) = x^2 - 25
б) (a+3b)(a-3b) = a^2 - 9b^2
в) (5y-x)(5y+x) = 25y^2 - x^2
г) (b+7)(b-7) = b^2 - 49
A2:
a) (a-6)(a+6) + 36 = a^2 - 36 + 36 = a^2
б) y^2 + (2x - y) (2x + y) = y^2 + 4x^2 - y^2 = 4x^2
A3:
a) 36-25a^2 = (6 - 5a)(6 + 5a)
б) 9x^2 - 4a^2 = (3x-2a)(3x+2a)
в) 1 - 16b^2 = (1 - 4b)(1 + 4b)
г) 49a^2 - 100 = (7a - 10)(7a + 10)
B1:
a) (m+n)^2 - p^2 = ((m+n) - p)* ((m+n)+p)
б) 9a^2 - (a+2b)^2 = (3a - (a+2b))*(3a+(a+2b))