(2х +5b)² = 4x² + 20xb + 25b²
(2x -7b)² = 4x² -28xb + 49b²
(2x-3y)(2x+3y) = 4x² - 9y²
(2a +3m)³ = 8a³ + 36a²m + 54am² + 27m³
8a^6 - 125b^6=(2a² - 5b²)(4a^4 +10a²b² +25b^4)
=10*1/25-12*1/5=1/250-12/60=1/190
X³ - 64x = x * ( x² - 64 ) = x * ( x - 8 ) * ( x + 8 )
3x ² - 75y² = 3 * ( x² - 25y² ) = 3 * ( x - 5 ) * ( x + 5 )
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y³ + 9y = 0
y * ( y + 9 ) = 0
y = 0
y + 9 = 0 ; y = - 9
Ответ 0 ; - 9
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( x + 3 )² - 49 = 0
( x + 3 - 7 )*( x + 3 + 7 ) = 0
( x - 4 )*( x + 10 ) = 0
x- 4 = 0 ; x = 4
x + 10 = 0 ; x = - 10
Ответ 4 ; - 10
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( y - 4 )² - ( y + 3 )² = 0
( y - 4 - ( y + 3 )) *( y - 4 + ( y + 3 ) ) = 0
( y - 4 - y - 3 )*( y - 4 + y + 3 ) = 0
- 7 * ( 2y - 1 ) = 0
2y - 1 = 0 ; 2y = 1 ; y = 0,5
Ответ 0,5