Question

Find the following product:
−5a(7a − 2b)

Answer 1

To find the product, we will use distributive law as follows:

\[- 5a\left( 7a - 2b \right)\]

\[ = \left( - 5a \right) \times 7a + \left( - 5a \right) \times \left( - 2b \right)\]

\[ = \left( - 5 \times 7 \right) \times \left( a \times a \right) + \left( - 5 \times \left( - 2 \right) \right) \times \left( a \times b \right)\]

\[ = \left( - 35 \right) \times \left( a^{1 + 1} \right) + \left( 10 \right) \times \left( a \times b \right)\]

\[ = - 35 a^2 + 10ab\] 

Thus, the answer is \[- 35 a^2 + 10ab\].