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.
Zee works out (5x − 2y)², which has two letters. Type x² as x^2 and y² as y^2. What is (5x − 2y)² in standard form?
Ari works out (3x + y)², which has two letters. Type x² as x^2 and y² as y^2. What is (3x + y)² in standard form?
Esme finds 29² without a calculator by writing it as (30 − 1)². What is 29²?
Kira finds 57 × 63 without a calculator by writing it as (60 − 3)(60 + 3). What is 57 × 63?
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?
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?
Ari's square rug has side (x + 6) feet. A square mat with side (x + 2) 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?