Question

Find the following products (a-3/5) (a-1/3)​

Answer 1

Answer:

a² + -14a /15 + 3/15

Step-by-step explanation:

(a - 3/5 ) ( a - 1/3)

= a² + ( -3/5 - 1/3 )a + (-3/5 × -1/3 )

= a² + ( -9 - 5/ 15 ) a + 3/15

= a² + -14a /15 + 3/15

Answer 2

Answer:

$\boxed{{a}^{2} - \frac{14a}{15} + \frac{1}{5} }$

Step-by-step explanation:

$= > (a - \frac{3}{5} )(a - \frac{1}{3} ) \\ \\ = > a(a - \frac{1}{3} ) - \frac{3}{5} (a - \frac{1}{3} ) \\ \\ = > (a \times a) - (a \times \frac{1}{3} ) + (( - \frac{3}{5} ) \times a) - (( - \frac{ \cancel{3}}{5} \times \frac{1}{ \cancel{3}} ) \\ \\ = > {a}^{2} - \frac{a}{3} + ( - \frac{3a}{5} ) - ( - \frac{1}{5} ) \\ \\ = > {a}^{2} - \frac{a}{3} - \frac{3a}{5} + \frac{1}{5} \\ \\ = > {a}^{2} - (\frac{a}{3} \times \frac{5}{5} ) - ( \frac{3a}{5} \times \frac{3}{3} ) + \frac{1}{5} \\ \\ = > {a}^{2} - \frac{5a}{15} - \frac{9a}{15} + \frac{1}{5} \\ \\ = > {a}^{2} + \frac{( - 5a - 9a)}{15} + \frac{1}{5} \\ \\ = > {a}^{2} + ( - \frac{14a}{15} ) + \frac{1}{5} \\ \\ = > {a}^{2} - \frac{14a}{15} + \frac{1}{5}$