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Nemoy21
@Nemoy21
July 2022
1
3
Report
25 баллов
196r²-p²
25x²-289y²
a²b⁴-9c²
(m-1)²-121
c²-2cm+m²
9+6c+c²
81c²-36cm+4m²
25c²+10cm²+m
125+n³
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Answers & Comments
zhenyaM2002
Verified answer
196r² - p² = (14r)² - p² = (14r - p)(14r + p)
25x² - 289y² = (5x)² - (17y)² = (5x - 17y)(5x+17y)
a²b⁴ - 9c² = (ab²)² - (3c)² = (ab² - 3c)(ab² + 3c)
(m - 1)² - 121 = (m - 1)² - 11² = (m-1 - 11)(m-1 +11) = (m - 12)(m + 10)
c² - 2cm + m² = (c - m)² = (c-m)(c-m)
9 + 6c + c² = c² + 2*3*c + 3² = (c + 3)² = (c+3)(c+3)
81c² -36cm +4m² = (9c)² - 2*9c*2m + (2m)² = (9c - 2m)² = (9c-2m)(9c-2m)
125 + n³ = n³ + (5)³ = (n+5)(n² + 5n + 5²) = (n + 5)(n² + 5n + 25)
25c² + 10cm² + m = (5c)² + 2*5c*m² + m = 5c(5c + 2m²) + m = ???
если только не пропущена степень m:
25с² + 10сm² + m⁴ = (5c)² + 2*5c*m² + (m²)² =(5c+m²)² = (5c+m²)(5c+m²)
2 votes
Thanks 1
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Answers & Comments
Verified answer
196r² - p² = (14r)² - p² = (14r - p)(14r + p)25x² - 289y² = (5x)² - (17y)² = (5x - 17y)(5x+17y)
a²b⁴ - 9c² = (ab²)² - (3c)² = (ab² - 3c)(ab² + 3c)
(m - 1)² - 121 = (m - 1)² - 11² = (m-1 - 11)(m-1 +11) = (m - 12)(m + 10)
c² - 2cm + m² = (c - m)² = (c-m)(c-m)
9 + 6c + c² = c² + 2*3*c + 3² = (c + 3)² = (c+3)(c+3)
81c² -36cm +4m² = (9c)² - 2*9c*2m + (2m)² = (9c - 2m)² = (9c-2m)(9c-2m)
125 + n³ = n³ + (5)³ = (n+5)(n² + 5n + 5²) = (n + 5)(n² + 5n + 25)
25c² + 10cm² + m = (5c)² + 2*5c*m² + m = 5c(5c + 2m²) + m = ???
если только не пропущена степень m:
25с² + 10сm² + m⁴ = (5c)² + 2*5c*m² + (m²)² =(5c+m²)² = (5c+m²)(5c+m²)