Special Products · Exercise 49

Mental math You can use the product of conjugates pattern to multiply numbers without a calculator. Say you need to multiply 47 times 53. Think of 47 as $50-3$ and 53 as $50+3$.

ⓐ Multiply $\left(50-3\right)\left(50+3\right)$ by using the product of conjugates pattern, $\left(a-b\right)\left(a+b\right)=a^2-b^2$.
ⓑ Multiply $47\cdot 53$ without using a calculator.
ⓒ Which way is easier for you? Why?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Elementary Algebra 2e · §6.4 Special Products · Exercise 49