\[\boxed{\text{20\ (20).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[1)\ 6a - 15b = 3 \cdot (2a - 5b)\]
\[2)\ 2a + ab = a \cdot (2 + b)\]
\[3)\ 7am + 7bn = 7 \cdot (am + bn)\]
\[4)\ 4x^{2} - 12xy = 4x \cdot (x - 3y)\]
\[5)\ a^{6} + a^{2} = a^{2} \cdot (a^{4} + 1)\]
\[6)\ 12m^{2}n - 4mn =\]
\[= 4mn \cdot (3m - 1)\]
\[7)\ 2x^{2} - 4x^{3} + 10x^{4} =\]
\[= 2x^{2} \cdot (1 - 2x + 5x^{2})\]
\[8)\ 10a^{3}b^{2} - 15a^{2}b + 25ab^{2} =\]
\[= 5ab \cdot (2a^{2}b - 3a + 5b)\]
\[\boxed{\text{20.\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[1)\ 6a - 15b = 3 \cdot (2a - 5b)\]
\[2)\ 2a + ab = a \cdot (2 + b)\]
\[3)\ 7am + 7bn = 7 \cdot (am + bn)\]
\[4)\ 4x^{2} - 12xy = 4x \cdot (x - 3y)\]
\[5)\ a^{6} + a^{2} = a^{2} \cdot (a^{4} + 1)\]
\[6)\ 12m^{2}n - 4mn =\]
\[= 4mn \cdot (3m - 1)\]
\[7)\ 2x^{2} - 4x^{3} + 10x^{4} =\]
\[= 2x^{2} \cdot (1 - 2x + 5x^{2})\]
\[8)\ 10a^{3}b^{2} - 15a^{2}b + 25ab^{2} =\]
\[= 5ab \cdot (2a^{2}b - 3a + 5b)\]