Question

1)спрости вираз (3m-2)*2-2(m-2)(m-3)+(2m-1)(2m+1)
спростити вираз (-2a ² b ³)²-(0,2a³b)³
2) розкласти на множники :
а) 25x³y² - 4xy⁴
b) -45+30a-5a²
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Answer 1

Объяснение:

1)

${(3m - 2)}^{2} - 2(m - 2)(m - 3) + (2m - 1)(2m + 1) = {9m}^{2} - 12m + 4 - {2m}^{2} + 6m + 4m - 12 + {4m}^{2} - 1 = {11m}^{2} - 2m - 9$

${( { - 2a}^{2} {b}^{3})}^{2} - {( {0.2a}^{3} b)}^{3} = 4 {a}^{4} {b}^{6} - 0.008 {a}^{9} {b}^{3}$

2) а)

$25 {x}^{3} {y}^{2} - 4x {y}^{4} = x {y}^{2} (25 {x}^{2} - 4 {y}^{2} ) = x {y}^{2} (5x - 2y)(5x + 2y)$

б)

$- 45 + 30a - 5 {a}^{2} = - 5(9 - 6a + {a}^{2} ) = - 5 {(3 - a)}^{2}$