Do you want BuboFlash to help you learning these things? Or do you want to add or correct something? Click here to log in or create user.



#mathematics #polynomials #precalculus

Calculate \(299\times 301\).

You can brute force the answer to this problem by using a calculator, but we have a sweeter way. We can apply the difference of two squares identity.

At first we may think about using the long multiplication method, but it wastes time and is, of course, boring. Notice that \(299=300-1\) and \(301=300+1\), so

\(299\times 301=(300-1)(300+1)=300^2-1^2=89999\).

If you want to change selection, open document below and click on "Move attachment"

Difference Of Squares | Brilliant Math & Science Wiki
es identity: \(a^2-b^2=(a+b)(a-b)\). Here are the examples to learn the usage of the identity. Rewrite \(5^2-2^2\) as a product. We have \[5^2-2^2 = (5-2) \times (5+2) = 3\times 7. \ _\square\] <span>Calculate \(299\times 301\). You can brute force the answer to this problem by using a calculator, but we have a sweeter way. We can apply the difference of two squares identity. At first we may think about using the long multiplication method, but it wastes time and is, of course, boring. Notice that \(299=300-1\) and \(301=300+1\), so \[\begin{align*}299\times 301&=(300-1)(300+1)\\&=300^2-1^2\\&=89999. \ _\square \end{align*}\] Show that any odd number can be written as the difference of two squares. Let the odd number be \( n = 2b + 1 \), where \(b\) is a non-negative integer. Then we have \[ n = 2b+1 = [ (b+


Summary

statusnot read reprioritisations
last reprioritisation on suggested re-reading day
started reading on finished reading on

Details


Discussion

Do you want to join discussion? Click here to log in or create user.