Task 6—polynomial identities

pick a two-digit number greater than 25. rewrite your two-digit number as a difference of two numbers. show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.

Several paint mixtures are made by mixing blue paint and white paint. paint colors blue paint white paint mixture a 5 cups 12 cups mixture b 6 cups 6 cups mixture c 4 cups 12 cups mixture d 5 cups 6 cups which mixture has the highest ratio of blue paint to white paint