Squares of binomials and the difference of squares
Grade 9 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Bo finds 41² without a calculator by writing it as (40 + 1)². What is 41²?
Esme finds 29² without a calculator by writing it as (30 − 1)². What is 29²?
Jun finds 52² without a calculator by writing it as (50 + 2)². What is 52²?
Luz finds 46 × 54 without a calculator by writing it as (50 − 4)(50 + 4). What is 46 × 54?
Milo finds 69 × 71 without a calculator by writing it as (70 − 1)(70 + 1). What is 69 × 71?
Noah simplifies (x + 3)² − (x − 5)(x + 5). Type x² as x^2. What is the result in fewest terms?
Pia simplifies (2x − 1)² − (x + 3)(x − 3). Type x² as x^2. What is the result in fewest terms?
Ren simplifies (x − 6)² − (x + 2)(x − 2). Type x² as x^2. What is the result in fewest terms?
Zee's square rug has side (x + 5) feet. A square mat with side (x + 1) feet lies on it, with x > 0. What area of rug still shows?
Bo's square rug has side (x + 7) feet. A square mat with side (x + 4) feet lies on it, with x > 0. What area of rug still shows?