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super32
@super32
August 2022
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представьте в виде произведения
1)(2а+b) в квадрате -(а-2b) в квадрате
2)(х+у) в квадрате -(у-z) в квадрате
3)(p+q)в квадрате - (p-q)в квадрате
4) (4а-b) в квадрате -(2а+3b)в квадрате
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Verified answer
1) ... = (2a+b - a + 2b)(2a+b + a-2b) = (a+3b)(3a-b)
2) ... = (x+y - y + z)(x+y + y-z) = (x+z)(x+2y-z)
3) ... = (p+q - p + q)(p+q + p-q) = 4pq
4) ... = (4a-b - 2a - 3b)(4a-b + 2a+3b) = (2a-4b)(6a+2b) = 4(a-2b)(3a+b)
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Answers & Comments
Verified answer
1) ... = (2a+b - a + 2b)(2a+b + a-2b) = (a+3b)(3a-b)2) ... = (x+y - y + z)(x+y + y-z) = (x+z)(x+2y-z)
3) ... = (p+q - p + q)(p+q + p-q) = 4pq
4) ... = (4a-b - 2a - 3b)(4a-b + 2a+3b) = (2a-4b)(6a+2b) = 4(a-2b)(3a+b)