Question

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

Answer 1

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

$$\begin{gathered} -5a\left(7a-2b\right) \\ =\left(-5a\right)\times 7a+\left(-5a\right)\times \left(-2b\right) \\ =\left(-5\times 7\right)\times \left(a\times a\right)+\left(-5\times \left(-2\right)\right)\times \left(a\times b\right) \\ =\left(-35\right)\times \left(a^{1+1}\right)+\left(10\right)\times \left(a\times b\right) \\ =-35a^2+10ab \end{gathered}$$

Thus, the answer is $-35a^2+10ab$.