Question

Use the difference of two squares to find each product
34•26

Answer 1

`884` is the final answer.

Explanation:

The difference of two squares identity is a squared number subtracted from another squared number to get factorized in the form of:

`\left(a+b\right)\left(a-b\right)=a^2-b^2`

This identity is often used in algebra where it is useful in applications to integer factorization, the quadratic sieve, the algebraic factorization, etc.

`34\cdot 26=\left(30+4\right)\left(30-4\right)\\\\=30^2-4^2\\\\=900-16\\\\=884`