3. Сократите дробь: 1) $\frac{6x^2-9x^2}{3x^2}$; 2) $\frac{10a^2b+15ab^2}{-5ab}$; 3) $\frac{8m^3+12m^2}{4m^2+6m}$; 4) $\frac{12x^4-6x^2+4x^2}{4x^2}$; 5) $\frac{6p^3q^2+9p^2q^3}{2p^2q^2+3pq^3}$; 6) $\frac{14c^4d-2c^3d^2}{4c^3-6c^2d}$.

Question

Вопрос: $Фото задания: 3. Сократите дробь: 1) $\frac{6x^2-9x^2}{3x^2}$; 2) $\frac{10a^2b+15ab^2}{-5ab}$; 3) $\frac{8m^3+12m^2}{4m^2+6m}$; 4)…$ Фото задания

3. Сократите дробь: 1) $\frac{6x^2-9x^2}{3x^2}$; 2) $\frac{10a^2b+15ab^2}{-5ab}$; 3) $\frac{8m^3+12m^2}{4m^2+6m}$; 4) $\frac{12x^4-6x^2+4x^2}{4x^2}$; 5) $\frac{6p^3q^2+9p^2q^3}{2p^2q^2+3pq^3}$; 6) $\frac{14c^4d-2c^3d^2}{4c^3-6c^2d}$.

Accepted Answer

$\frac{6x^2-9x^2}{3x^2}=\frac{-3x^2}{3x^2}=\mathbf{-1}$.
$\frac{10a^2b+15ab^2}{-5ab}=\frac{5ab(2a+3b)}{-5ab}=\mathbf{-(2a+3b)}$.
$\frac{8m^3+12m^2}{4m^2+6m}=\frac{4m^2(2m+3)}{2m(2m+3)}=\mathbf{2m}$.
$\frac{12x^4-6x^2+4x^2}{4x^2}=\frac{12x^4-2x^2}{4x^2}=\mathbf{3x^2-\frac12}$.
$\frac{6p^3q^2+9p^2q^3}{2p^2q^2+3pq^3}=\frac{3p^2q^2(2p+3q)}{pq^2(2p+3q)}=\mathbf{3p}$.
$\frac{14c^4d-2c^3d^2}{4c^3-6c^2d}=\frac{2c^3d(7c-d)}{2c^2(2c-3d)}=\mathbf{\frac{cd(7c-d)}{2c-3d}}$.

3. Сократите дробь: 1) \(\frac{6x^2-9x^2}{3x^2}\); 2) \(\frac{10a^2b+15ab^2}{-5ab}\); 3) \(\frac{8m^3+12m^2}{4m^2+6m}\); 4) \(\frac{12x^4-6x^2+4x^2}{4x^2}\); 5) \(\frac{6p^3q^2+9p^2q^3}{2p^2q^2+3pq^3}\); 6) \(\frac{14c^4d-2c^3d^2}{4c^3-6c^2d}\).

Ответ: